200 ejercicios sobre Progresiones Aritméticas resueltos paso por paso con todos los procedimientos.

Vista previa del material en texto

Progresiones Aritméticas
Hallar el término indicado en cada una de las siguientes progresiones.
1). 2). 3).
4). 5). 6).
7). 8). 9).
10). 11). 12).
13). 14). 15).
16). 17). 18).
19). 20). 21).
22). 23). 24).
25). 26). 27).
28). 29). 30).
31). 32). 33).
= {−1,−5,−9,−13...}Sn
=?S185
= {3,−2,−7,−12...}Sn
=?S828
= {8, 17, 26, 35...}Sn
=?S215
= {7, 9, 11, 13...}Sn
=?S530
= {5, 3, 1,−1...}Sn
=?S810
= {−4,−9,−14,−19...}Sn
=?S707
= {−3,−9,−15,−21...}Sn
=?S531
= {−4,−8,−12,−16...}Sn
=?S727
= {−2,−12,−22,−32...}Sn
=?S610
= {7, 18, 29, 40...}Sn
=?S764
= {10, 14, 18, 22...}Sn
=?S628
= {−5, 4, 13, 22...}Sn
=?S501
= {−2, 3, 8, 13...}Sn
=?S946
= {5,−2,−9,−16...}Sn
=?S630
= {−5,−2, 1, 4...}Sn
=?S372
= {9, 5, 1,−3...}Sn
=?S699
= {7, 2,−3,−8...}Sn
=?S309
= {9,−1,−11,−21...}Sn
=?S857
= {−10,−8,−6,−4...}Sn
=?S913
= {−5,−8,−11,−14...}Sn
=?S207
= {−4,−8,−12,−16...}Sn
=?S734
= {7, 0,−7,−14...}Sn
=?S204
= {−7,−2, 3, 8...}Sn
=?S595
= {−1,−7,−13,−19...}Sn
=?S757
= {7, 9, 11, 13...}Sn
=?S994
= {−6,−12,−18,−24...}Sn
=?S779
= {5, 0,−5,−10...}Sn
=?S789
= {2,−8,−18,−28...}Sn
=?S201
= {−2, 3, 8, 13...}Sn
=?S740
= {−9,−19,−29,−39...}Sn
=?S320
= {−8, 2, 12, 22...}Sn
=?S398
= {−7, 0, 7, 14...}Sn
=?S811
= {−1,−3,−5,−7...}Sn
=?S392
34). 35). 36).
37). 38). 39).
40). 41). 42).
43). 44). 45).
46). 47). 48).
49). 50). 51).
52). 53). 54).
55). 56). 57).
58). 59). 60).
61). 62). 63).
64). 65). 66).
67). 68). 69).
= {−4,−12,−20,−28...}Sn
=?S859
= {6,−2,−10,−18...}Sn
=?S416
= {2,−7,−16,−25...}Sn
=?S922
= {−1,−8,−15,−22...}Sn
=?S813
= {−9,−11,−13,−15...}Sn
=?S116
= {10, 0,−10,−20...}Sn
=?S917
= {2, 7, 12, 17...}Sn
=?S532
= {7, 16, 25, 34...}Sn
=?S685
= {−5,−11,−17,−23...}Sn
=?S878
= {−4,−10,−16,−22...}Sn
=?S434
= {3,−5,−13,−21...}Sn
=?S747
= {−6,−4,−2, 0...}Sn
=?S766
= {2, 7, 12, 17...}Sn
=?S634
= {4,−3,−10,−17...}Sn
=?S166
= {6,−4,−14,−24...}Sn
=?S775
= {−4,−14,−24,−34...}Sn
=?S734
= {−6, 1, 8, 15...}Sn
=?S628
= {−7,−10,−13,−16...}Sn
=?S937
= {2, 3, 4, 5...}Sn
=?S897
= {8, 18, 28, 38...}Sn
=?S490
= {−7, 4, 15, 26...}Sn
=?S497
= {4, 11, 18, 25...}Sn
=?S989
= {4, 9, 14, 19...}Sn
=?S976
= {6, 12, 18, 24...}Sn
=?S954
= {−8, 2, 12, 22...}Sn
=?S551
= {−6, 1, 8, 15...}Sn
=?S744
= {−7,−5,−3,−1...}Sn
=?S996
= {10, 20, 30, 40...}Sn
=?S330
= {4, 1,−2,−5...}Sn
=?S567
= {5, 0,−5,−10...}Sn
=?S260
= {−2, 3, 8, 13...}Sn
=?S694
= {−8,−3, 2, 7...}Sn
=?S971
= {−2,−12,−22,−32...}Sn
=?S631
= {−10,−17,−24,−31...}Sn
=?S176
= {−2,−6,−10,−14...}Sn
=?S986
= {2, 4, 6, 8...}Sn
=?S619
70). 71). 72).
73). 74). 75).
76). 77). 78).
79). 80). 81).
82). 83). 84).
85). 86). 87).
88). 89). 90).
91). 92). 93).
94). 95). 96).
97). 98). 99).
100). 101). 102).
103). 104). 105).
= {−5, 4, 13, 22...}Sn
=?S114
= {−1, 2, 5, 8...}Sn
=?S110
= {1,−7,−15,−23...}Sn
=?S117
= {2, 6, 10, 14...}Sn
=?S288
= {10, 9, 8, 7...}Sn
=?S318
= {5, 0,−5,−10...}Sn
=?S639
= {4, 1,−2,−5...}Sn
=?S767
= {4, 3, 2, 1...}Sn
=?S349
= {−1, 1, 3, 5...}Sn
=?S627
= {9, 8, 7, 6...}Sn
=?S805
= {6, 3, 0,−3...}Sn
=?S153
= {−6,−10,−14,−18...}Sn
=?S392
= {6, 8, 10, 12...}Sn
=?S964
= {4, 3, 2, 1...}Sn
=?S904
= {−1, 1, 3, 5...}Sn
=?S211
= {−3,−11,−19,−27...}Sn
=?S754
= {1, 12, 23, 34...}Sn
=?S147
= {−6,−16,−26,−36...}Sn
=?S257
= {7, 12, 17, 22...}Sn
=?S326
= {−1,−8,−15,−22...}Sn
=?S505
= {6,−2,−10,−18...}Sn
=?S484
= {−7,−3, 1, 5...}Sn
=?S691
= {2, 10, 18, 26...}Sn
=?S210
= {−4, 6, 16, 26...}Sn
=?S186
= {10, 12, 14, 16...}Sn
=?S735
= {4, 7, 10, 13...}Sn
=?S302
= {−10,−19,−28,−37...}Sn
=?S878
= {3, 9, 15, 21...}Sn
=?S649
= {−6,−7,−8,−9...}Sn
=?S515
= {8, 9, 10, 11...}Sn
=?S771
= {−10,−18,−26,−34...}Sn
=?S505
= {4, 2, 0,−2...}Sn
=?S398
= {−7,−3, 1, 5...}Sn
=?S724
= {−2, 4, 10, 16...}Sn
=?S338
= {−2, 2, 6, 10...}Sn
=?S573
= {5, 4, 3, 2...}Sn
=?S191
106). 107). 108).
109). 110). 111).
112). 113). 114).
115). 116). 117).
118). 119). 120).
121). 122). 123).
124). 125). 126).
127). 128). 129).
130). 131). 132).
133). 134). 135).
136). 137). 138).
139). 140). 141).
= {2, 8, 14, 20...}Sn
=?S470
= {7, 4, 1,−2...}Sn
=?S153
= {10, 0,−10,−20...}Sn
=?S703
= {−6, 1, 8, 15...}Sn
=?S375
= {10, 4,−2,−8...}Sn
=?S560
= {5, 8, 11, 14...}Sn
=?S990
= {9, 11, 13, 15...}Sn
=?S211
= {−5,−15,−25,−35...}Sn
=?S649
= {1, 3, 5, 7...}Sn
=?S160
= {−5,−7,−9,−11...}Sn
=?S871
= {3, 13, 23, 33...}Sn
=?S166
= {−2, 2, 6, 10...}Sn
=?S658
= {−5, 0, 5, 10...}Sn
=?S930
= {−2,−12,−22,−32...}Sn
=?S149
= {−6,−11,−16,−21...}Sn
=?S349
= {−10,−18,−26,−34...}Sn
=?S551
= {−7,−3, 1, 5...}Sn
=?S421
= {−10,−13,−16,−19...}Sn
=?S767
= {−2,−5,−8,−11...}Sn
=?S203
= {−5,−15,−25,−35...}Sn
=?S109
= {−10,−7,−4,−1...}Sn
=?S864
= {1,−7,−15,−23...}Sn
=?S145
= {9, 5, 1,−3...}Sn
=?S942
= {1, 2, 3, 4...}Sn
=?S351
= {−3, 4, 11, 18...}Sn
=?S914
= {8,−1,−10,−19...}Sn
=?S977
= {2,−4,−10,−16...}Sn
=?S855
= {−3,−5,−7,−9...}Sn
=?S320
= {−2, 6, 14, 22...}Sn
=?S153
= {7, 14, 21, 28...}Sn
=?S644
= {−4,−11,−18,−25...}Sn
=?S975
= {7, 11, 15, 19...}Sn
=?S307
= {−8, 1, 10, 19...}Sn
=?S378
= {2, 0,−2,−4...}Sn
=?S897
= {10, 21, 32, 43...}Sn
=?S829
= {7, 6, 5, 4...}Sn
=?S977
142). 143). 144).
145). 146). 147).
148). 149). 150).
151). 152). 153).
154). 155). 156).
157). 158). 159).
160). 161). 162).
163). 164). 165).
166). 167). 168).
169). 170). 171).
172). 173). 174).
175). 176). 177).
= {9, 12, 15, 18...}Sn
=?S106
= {4, 15, 26, 37...}Sn
=?S547
= {−3, 7, 17, 27...}Sn
=?S159
= {8, 16, 24, 32...}Sn
=?S711
= {3, 5, 7, 9...}Sn
=?S786
= {2,−1,−4,−7...}Sn
=?S873
= {8, 10, 12, 14...}Sn
=?S754
= {7,−2,−11,−20...}Sn
=?S495
= {−7,−15,−23,−31...}Sn
=?S826
= {−9, 2, 13, 24...}Sn
=?S458
= {−3,−6,−9,−12...}Sn
=?S250
= {2, 9, 16, 23...}Sn
=?S764
= {6, 7, 8, 9...}Sn
=?S862
= {−1,−5,−9,−13...}Sn
=?S637
= {2,−2,−6,−10...}Sn
=?S308
= {−7,−14,−21,−28...}Sn
=?S511
= {7, 15, 23, 31...}Sn
=?S771
= {2, 10, 18, 26...}Sn
=?S326
= {3, 0,−3,−6...}Sn
=?S153
= {−1,−5,−9,−13...}Sn
=?S779
= {2, 8, 14, 20...}Sn
=?S934
= {6, 8, 10, 12...}Sn
=?S120
= {−10,−6,−2, 2...}Sn
=?S160
= {−6,−13,−20,−27...}Sn
=?S724
= {2,−1,−4,−7...}Sn
=?S157
= {−7,−16,−25,−34...}Sn
=?S554
= {−4,−3,−2,−1...}Sn
=?S880
= {6,−2,−10,−18...}Sn
=?S234
= {−1,−5,−9,−13...}Sn
=?S516
= {−4,−13,−22,−31...}Sn
=?S528
= {−8,−6,−4,−2...}Sn
=?S124
= {8, 15, 22, 29...}Sn
=?S517
= {−3,−6,−9,−12...}Sn
=?S531
= {−2,−11,−20,−29...}Sn
=?S970
= {8, 9, 10, 11...}Sn
=?S271
= {−5, 0, 5, 10...}Sn
=?S930
178). 179). 180).
181). 182). 183).
184). 185). 186).
187). 188). 189).
190). 191). 192).
193). 194). 195).
196). 197). 198).
199). 200).
= {−3,−6,−9,−12...}Sn
=?S577
= {10, 20, 30, 40...}Sn
=?S297
= {1, 3, 5, 7...}Sn
=?S342
= {−10,−13,−16,−19...}Sn
=?S392
= {8, 16, 24, 32...}Sn
=?S532
= {10, 17, 24, 31...}Sn
=?S397
= {8, 2,−4,−10...}Sn
=?S141
= {7,−2,−11,−20...}Sn
=?S741
= {3, 12, 21, 30...}Sn
=?S228
= {9, 0,−9,−18...}Sn
=?S492
= {−6, 3, 12, 21...}Sn
=?S617
= {7,−1,−9,−17...}Sn
=?S932
= {8, 11, 14, 17...}Sn
=?S120
= {7, 18, 29, 40...}Sn
=?S465
= {−7,−10,−13,−16...}Sn
=?S957
= {−4,−6,−8,−10...}Sn
=?S760
= {5, 12, 19, 26...}Sn
=?S346
= {7, 5, 3, 1...}Sn
=?S871
= {−3,−1, 1, 3...}Sn
=?S991
= {−5,−2, 1, 4...}Sn
=?S491
= {10, 19, 28, 37...}Sn
=?S599
= {−6,−12,−18,−24...}Sn
=?S438
= {3, 10, 17, 24...}Sn
=?S115
HOJA DE RESPUESTAS
Progresiones Aritméticas
Hallar el término indicado en cada una de las siguientes progresiones.
1). 2).
3). 4).
5). 6).
7). 8).
9). 10).
11). 12).
13). 14).
15). 16).
S185 = −1 + (185 −1) ⋅ (−4)
= −1 + (184) ⋅ (−4)
= −1 + (−736)
= −737
S828 = 3 + (828 −1) ⋅ (−5)
= 3 + (827) ⋅ (−5)
= 3 + (−4135)
= −4132
S215 = 8 + (215 −1) ⋅ (9)
= 8 + (214) ⋅ (9)
= 8 + (1926)
= 1934
S530 = 7 + (530 −1) ⋅ (2)
= 7 + (529) ⋅ (2)
= 7 + (1058)
= 1065
S810 = 5 + (810 −1) ⋅ (−2)
= 5 + (809) ⋅ (−2)
=5 + (−1618)
= −1613
S707 = −4 + (707 −1) ⋅ (−5)
= −4 + (706) ⋅ (−5)
= −4 + (−3530)
= −3534
S531 = −3 + (531 −1) ⋅ (−6)
= −3 + (530) ⋅ (−6)
= −3 + (−3180)
= −3183
S727 = −4 + (727 −1) ⋅ (−4)
= −4 + (726) ⋅ (−4)
= −4 + (−2904)
= −2908
S610 = −2 + (610 −1) ⋅ (−10)
= −2 + (609) ⋅ (−10)
= −2 + (−6090)
= −6092
S764 = 7 + (764 −1) ⋅ (11)
= 7 + (763) ⋅ (11)
= 7 + (8393)
= 8400
S628 = 10 + (628 −1) ⋅ (4)
= 10 + (627) ⋅ (4)
= 10 + (2508)
= 2518
S501 = −5 + (501 −1) ⋅ (9)
= −5 + (500) ⋅ (9)
= −5 + (4500)
= 4495
S946 = −2 + (946 −1) ⋅ (5)
= −2 + (945) ⋅ (5)
= −2 + (4725)
= 4723
S630 = 5 + (630 −1) ⋅ (−7)
= 5 + (629) ⋅ (−7)
= 5 + (−4403)
= −4398
S372 = −5 + (372 −1) ⋅ (3)
= −5 + (371) ⋅ (3)
= −5 + (1113)
= 1108
S699 = 9 + (699 −1) ⋅ (−4)
= 9 + (698) ⋅ (−4)
= 9 + (−2792)
= −2783
17). 18).
19). 20).
21). 22).
23). 24).
25). 26).
27). 28).
29). 30).
31). 32).
33). 34).
S309 = 7 + (309 −1) ⋅ (−5)
= 7 + (308) ⋅ (−5)
= 7 + (−1540)
= −1533
S857 = 9 + (857 −1) ⋅ (−10)
= 9 + (856) ⋅ (−10)
= 9 + (−8560)
= −8551
S913 = −10 + (913 −1) ⋅ (2)
= −10 + (912) ⋅ (2)
= −10 + (1824)
= 1814
S207 = −5 + (207 −1) ⋅ (−3)
= −5 + (206) ⋅ (−3)
= −5 + (−618)
= −623
S734 = −4 + (734 −1) ⋅ (−4)
= −4 + (733) ⋅ (−4)
= −4 + (−2932)
= −2936
S204 = 7 + (204 −1) ⋅ (−7)
= 7 + (203) ⋅ (−7)
= 7 + (−1421)
= −1414
S595 = −7 + (595 −1) ⋅ (5)
= −7 + (594) ⋅ (5)
= −7 + (2970)
= 2963
S757 = −1 + (757 −1) ⋅ (−6)
= −1 + (756) ⋅ (−6)
= −1 + (−4536)
= −4537
S994 = 7 + (994 −1) ⋅ (2)
= 7 + (993) ⋅ (2)
= 7 + (1986)
= 1993
S779 = −6 + (779 −1) ⋅ (−6)
= −6 + (778) ⋅ (−6)
= −6 + (−4668)
= −4674
S789 = 5 + (789 −1) ⋅ (−5)
= 5 + (788) ⋅ (−5)
= 5 + (−3940)
= −3935
S201 = 2 + (201 −1) ⋅ (−10)
= 2 + (200) ⋅ (−10)
= 2 + (−2000)
= −1998
S740 = −2 + (740 −1) ⋅ (5)
= −2 + (739) ⋅ (5)
= −2 + (3695)
= 3693
S320 = −9 + (320 −1) ⋅ (−10)
= −9 + (319) ⋅ (−10)
= −9 + (−3190)
= −3199
S398 = −8 + (398 −1) ⋅ (10)
= −8 + (397) ⋅ (10)
= −8 + (3970)
= 3962
S811 = −7 + (811 −1) ⋅ (7)
= −7 + (810) ⋅ (7)
= −7 + (5670)
= 5663
S392 = −1 + (392 −1) ⋅ (−2)
= −1 + (391) ⋅ (−2)
= −1 + (−782)
= −783
S859 = −4 + (859 −1) ⋅ (−8)
= −4 + (858) ⋅ (−8)
= −4 + (−6864)
= −6868
35). 36).
37). 38).
39). 40).
41). 42).
43). 44).
45). 46).
47). 48).
49). 50).
51). 52).
S416 = 6 + (416 −1) ⋅ (−8)
= 6 + (415) ⋅ (−8)
= 6 + (−3320)
= −3314
S922 = 2 + (922 −1) ⋅ (−9)
= 2 + (921) ⋅ (−9)
= 2 + (−8289)
= −8287
S813 = −1 + (813 −1) ⋅ (−7)
= −1 + (812) ⋅ (−7)
= −1 + (−5684)
= −5685
S116 = −9 + (116 −1) ⋅ (−2)
= −9 + (115) ⋅ (−2)
= −9 + (−230)
= −239
S917 = 10 + (917 −1) ⋅ (−10)
= 10 + (916) ⋅ (−10)
= 10 + (−9160)
= −9150
S532 = 2 + (532 −1) ⋅ (5)
= 2 + (531) ⋅ (5)
= 2 + (2655)
= 2657
S685 = 7 + (685 −1) ⋅ (9)
= 7 + (684) ⋅ (9)
= 7 + (6156)
= 6163
S878 = −5 + (878 −1) ⋅ (−6)
= −5 + (877) ⋅ (−6)
= −5 + (−5262)
= −5267
S434 = −4 + (434 −1) ⋅ (−6)
= −4 + (433) ⋅ (−6)
= −4 + (−2598)
= −2602
S747 = 3 + (747 −1) ⋅ (−8)
= 3 + (746) ⋅ (−8)
= 3 + (−5968)
= −5965
S766 = −6 + (766 −1) ⋅ (2)
= −6 + (765) ⋅ (2)
= −6 + (1530)
= 1524
S634 = 2 + (634 −1) ⋅ (5)
= 2 + (633) ⋅ (5)
= 2 + (3165)
= 3167
S166 = 4 + (166 −1) ⋅ (−7)
= 4 + (165) ⋅ (−7)
= 4 + (−1155)
= −1151
S775 = 6 + (775 −1) ⋅ (−10)
= 6 + (774) ⋅ (−10)
= 6 + (−7740)
= −7734
S734 = −4 + (734 −1) ⋅ (−10)
= −4 + (733) ⋅ (−10)
= −4 + (−7330)
= −7334
S628 = −6 + (628 −1) ⋅ (7)
= −6 + (627) ⋅ (7)
= −6 + (4389)
= 4383
S937 = −7 + (937 −1) ⋅ (−3)
= −7 + (936) ⋅ (−3)
= −7 + (−2808)
= −2815
S897 = 2 + (897 −1) ⋅ (1)
= 2 + (896) ⋅ (1)
= 2 + (896)
= 898
53). 54).
55). 56).
57). 58).
59). 60).
61). 62).
63). 64).
65). 66).
67). 68).
69). 70).
S490 = 8 + (490 −1) ⋅ (10)
= 8 + (489) ⋅ (10)
= 8 + (4890)
= 4898
S497 = −7 + (497 −1) ⋅ (11)
= −7 + (496) ⋅ (11)
= −7 + (5456)
= 5449
S989 = 4 + (989 −1) ⋅ (7)
= 4 + (988) ⋅ (7)
= 4 + (6916)
= 6920
S976 = 4 + (976 −1) ⋅ (5)
= 4 + (975) ⋅ (5)
= 4 + (4875)
= 4879
S954 = 6 + (954 −1) ⋅ (6)
= 6 + (953) ⋅ (6)
= 6 + (5718)
= 5724
S551 = −8 + (551 −1) ⋅ (10)
= −8 + (550) ⋅ (10)
= −8 + (5500)
= 5492
S744 = −6 + (744 −1) ⋅ (7)
= −6 + (743) ⋅ (7)
= −6 + (5201)
= 5195
S996 = −7 + (996 −1) ⋅ (2)
= −7 + (995) ⋅ (2)
= −7 + (1990)
= 1983
S330 = 10 + (330 −1) ⋅ (10)
= 10 + (329) ⋅ (10)
= 10 + (3290)
= 3300
S567 = 4 + (567 −1) ⋅ (−3)
= 4 + (566) ⋅ (−3)
= 4 + (−1698)
= −1694
S260 = 5 + (260 −1) ⋅ (−5)
= 5 + (259) ⋅ (−5)
= 5 + (−1295)
= −1290
S694 = −2 + (694 −1) ⋅ (5)
= −2 + (693) ⋅ (5)
= −2 + (3465)
= 3463
S971 = −8 + (971 −1) ⋅ (5)
= −8 + (970) ⋅ (5)
= −8 + (4850)
= 4842
S631 = −2 + (631 −1) ⋅ (−10)
= −2 + (630) ⋅ (−10)
= −2 + (−6300)
= −6302
S176 = −10 + (176 −1) ⋅ (−7)
= −10 + (175) ⋅ (−7)
= −10 + (−1225)
= −1235
S986 = −2 + (986 −1) ⋅ (−4)
= −2 + (985) ⋅ (−4)
= −2 + (−3940)
= −3942
S619 = 2 + (619 −1) ⋅ (2)
= 2 + (618) ⋅ (2)
= 2 + (1236)
= 1238
S114 = −5 + (114 −1) ⋅ (9)
= −5 + (113) ⋅ (9)
= −5 + (1017)
= 1012
71). 72).
73). 74).
75). 76).
77). 78).
79). 80).
81). 82).
83). 84).
85). 86).
87). 88).
S110 = −1 + (110 −1) ⋅ (3)
= −1 + (109) ⋅ (3)
= −1 + (327)
= 326
S117 = 1 + (117 −1) ⋅ (−8)
= 1 + (116) ⋅ (−8)
= 1 + (−928)
= −927
S288 = 2 + (288 −1) ⋅ (4)
= 2 + (287) ⋅ (4)
= 2 + (1148)
= 1150
S318 = 10 + (318 −1) ⋅ (−1)
= 10 + (317) ⋅ (−1)
= 10 + (−317)
= −307
S639 = 5 + (639 −1) ⋅ (−5)
= 5 + (638) ⋅ (−5)
= 5 + (−3190)
= −3185
S767 = 4 + (767 −1) ⋅ (−3)
= 4 + (766) ⋅ (−3)
= 4 + (−2298)
= −2294
S349 = 4 + (349 −1) ⋅ (−1)
= 4 + (348) ⋅ (−1)
= 4 + (−348)
= −344
S627 = −1 + (627 −1) ⋅ (2)
= −1 + (626) ⋅ (2)
= −1 + (1252)
= 1251
S805 = 9 + (805 −1) ⋅ (−1)
= 9 + (804) ⋅ (−1)
= 9 + (−804)
= −795
S153 = 6 + (153 −1) ⋅ (−3)
= 6 + (152) ⋅ (−3)
= 6 + (−456)
= −450
S392 = −6 + (392 −1) ⋅ (−4)
= −6 + (391) ⋅ (−4)
= −6 + (−1564)
= −1570
S964 = 6 + (964 −1) ⋅ (2)
= 6 + (963) ⋅ (2)
= 6 + (1926)
= 1932
S904 = 4 + (904 −1) ⋅ (−1)
= 4 + (903) ⋅ (−1)
= 4 + (−903)
= −899
S211 = −1 + (211 −1) ⋅ (2)
= −1 + (210) ⋅ (2)
= −1 + (420)
= 419
S754 = −3 + (754 −1) ⋅ (−8)
= −3 + (753) ⋅ (−8)
= −3 + (−6024)
= −6027
S147 = 1 + (147 −1) ⋅ (11)
= 1 + (146) ⋅ (11)
= 1 + (1606)
= 1607
S257 = −6 + (257 −1) ⋅ (−10)
= −6 + (256) ⋅ (−10)
= −6 + (−2560)
= −2566
S326 = 7 + (326 −1) ⋅ (5)
= 7 + (325) ⋅ (5)
= 7 + (1625)
= 1632
89). 90).
91). 92).
93). 94).
95). 96).
97). 98).
99). 100).
101). 102).
103). 104).
105). 106).
S505 = −1 + (505 −1) ⋅ (−7)
= −1 + (504) ⋅ (−7)
= −1 + (−3528)
= −3529
S484 = 6 + (484 −1) ⋅ (−8)
= 6 + (483) ⋅ (−8)
= 6 + (−3864)
= −3858
S691 = −7 + (691 −1) ⋅ (4)
= −7 + (690) ⋅ (4)
= −7 + (2760)
= 2753
S210 = 2 + (210 −1) ⋅ (8)
= 2 + (209) ⋅ (8)
= 2 + (1672)
= 1674
S186 = −4 + (186 −1) ⋅ (10)
= −4 + (185) ⋅ (10)
= −4 + (1850)
= 1846
S735 = 10 + (735 −1) ⋅ (2)
= 10 + (734) ⋅ (2)
= 10 + (1468)
= 1478
S302 = 4 + (302 −1) ⋅ (3)
= 4 + (301) ⋅ (3)
= 4 + (903)
= 907
S878 = −10 + (878 −1) ⋅ (−9)
= −10 + (877) ⋅ (−9)
= −10 + (−7893)
= −7903
S649 = 3 + (649 −1) ⋅ (6)
= 3 + (648) ⋅ (6)
= 3 + (3888)
= 3891
S515 = −6 + (515 −1) ⋅ (−1)
= −6 + (514) ⋅ (−1)
= −6 + (−514)
= −520
S771 = 8 + (771 −1) ⋅ (1)
= 8 + (770) ⋅ (1)
= 8 + (770)
= 778
S505 = −10 + (505 −1) ⋅ (−8)
= −10 + (504) ⋅ (−8)
= −10 + (−4032)
= −4042
S398 = 4 + (398 −1) ⋅ (−2)
= 4 + (397) ⋅ (−2)
= 4 + (−794)
= −790
S724 = −7 + (724 −1) ⋅ (4)
= −7 + (723) ⋅ (4)
= −7 + (2892)
= 2885
S338 = −2 + (338 −1) ⋅ (6)
= −2 + (337) ⋅ (6)
= −2 + (2022)
= 2020
S573 = −2 + (573 −1) ⋅ (4)
= −2 + (572) ⋅ (4)
= −2 + (2288)
= 2286
S191 = 5 + (191 −1) ⋅ (−1)
= 5 + (190) ⋅ (−1)
= 5 + (−190)
= −185
S470 = 2 + (470 −1) ⋅ (6)
= 2 + (469) ⋅ (6)
= 2 + (2814)
= 2816
107). 108).
109). 110).
111). 112).
113). 114).
115). 116).
117). 118).
119). 120).
121). 122).
123). 124).
S153 = 7 + (153 −1) ⋅ (−3)
= 7 + (152) ⋅ (−3)
= 7 + (−456)
= −449
S703 = 10 + (703 −1) ⋅ (−10)
= 10 + (702) ⋅ (−10)
= 10 + (−7020)= −7010
S375 = −6 + (375 −1) ⋅ (7)
= −6 + (374) ⋅ (7)
= −6 + (2618)
= 2612
S560 = 10 + (560 −1) ⋅ (−6)
= 10 + (559) ⋅ (−6)
= 10 + (−3354)
= −3344
S990 = 5 + (990 −1) ⋅ (3)
= 5 + (989) ⋅ (3)
= 5 + (2967)
= 2972
S211 = 9 + (211 −1) ⋅ (2)
= 9 + (210) ⋅ (2)
= 9 + (420)
= 429
S649 = −5 + (649 −1) ⋅ (−10)
= −5 + (648) ⋅ (−10)
= −5 + (−6480)
= −6485
S160 = 1 + (160 −1) ⋅ (2)
= 1 + (159) ⋅ (2)
= 1 + (318)
= 319
S871 = −5 + (871 −1) ⋅ (−2)
= −5 + (870) ⋅ (−2)
= −5 + (−1740)
= −1745
S166 = 3 + (166 −1) ⋅ (10)
= 3 + (165) ⋅ (10)
= 3 + (1650)
= 1653
S658 = −2 + (658 −1) ⋅ (4)
= −2 + (657) ⋅ (4)
= −2 + (2628)
= 2626
S930 = −5 + (930 −1) ⋅ (5)
= −5 + (929) ⋅ (5)
= −5 + (4645)
= 4640
S149 = −2 + (149 −1) ⋅ (−10)
= −2 + (148) ⋅ (−10)
= −2 + (−1480)
= −1482
S349 = −6 + (349 −1) ⋅ (−5)
= −6 + (348) ⋅ (−5)
= −6 + (−1740)
= −1746
S551 = −10 + (551 −1) ⋅ (−8)
= −10 + (550) ⋅ (−8)
= −10 + (−4400)
= −4410
S421 = −7 + (421 −1) ⋅ (4)
= −7 + (420) ⋅ (4)
= −7 + (1680)
= 1673
S767 = −10 + (767 −1) ⋅ (−3)
= −10 + (766) ⋅ (−3)
= −10 + (−2298)
= −2308
S203 = −2 + (203 −1) ⋅ (−3)
= −2 + (202) ⋅ (−3)
= −2 + (−606)
= −608
125). 126).
127). 128).
129). 130).
131). 132).
133). 134).
135). 136).
137). 138).
139). 140).
141). 142).
S109 = −5 + (109 −1) ⋅ (−10)
= −5 + (108) ⋅ (−10)
= −5 + (−1080)
= −1085
S864 = −10 + (864 −1) ⋅ (3)
= −10 + (863) ⋅ (3)
= −10 + (2589)
= 2579
S145 = 1 + (145 −1) ⋅ (−8)
= 1 + (144) ⋅ (−8)
= 1 + (−1152)
= −1151
S942 = 9 + (942 −1) ⋅ (−4)
= 9 + (941) ⋅ (−4)
= 9 + (−3764)
= −3755
S351 = 1 + (351 −1) ⋅ (1)
= 1 + (350) ⋅ (1)
= 1 + (350)
= 351
S914 = −3 + (914 −1) ⋅ (7)
= −3 + (913) ⋅ (7)
= −3 + (6391)
= 6388
S977 = 8 + (977 −1) ⋅ (−9)
= 8 + (976) ⋅ (−9)
= 8 + (−8784)
= −8776
S855 = 2 + (855 −1) ⋅ (−6)
= 2 + (854) ⋅ (−6)
= 2 + (−5124)
= −5122
S320 = −3 + (320 −1) ⋅ (−2)
= −3 + (319) ⋅ (−2)
= −3 + (−638)
= −641
S153 = −2 + (153 −1) ⋅ (8)
= −2 + (152) ⋅ (8)
= −2 + (1216)
= 1214
S644 = 7 + (644 −1) ⋅ (7)
= 7 + (643) ⋅ (7)
= 7 + (4501)
= 4508
S975 = −4 + (975 −1) ⋅ (−7)
= −4 + (974) ⋅ (−7)
= −4 + (−6818)
= −6822
S307 = 7 + (307 −1) ⋅ (4)
= 7 + (306) ⋅ (4)
= 7 + (1224)
= 1231
S378 = −8 + (378 −1) ⋅ (9)
= −8 + (377) ⋅ (9)
= −8 + (3393)
= 3385
S897 = 2 + (897 −1) ⋅ (−2)
= 2 + (896) ⋅ (−2)
= 2 + (−1792)
= −1790
S829 = 10 + (829 −1) ⋅ (11)
= 10 + (828) ⋅ (11)
= 10 + (9108)
= 9118
S977 = 7 + (977 −1) ⋅ (−1)
= 7 + (976) ⋅ (−1)
= 7 + (−976)
= −969
S106 = 9 + (106 −1) ⋅ (3)
= 9 + (105) ⋅ (3)
= 9 + (315)
= 324
143). 144).
145). 146).
147). 148).
149). 150).
151). 152).
153). 154).
155). 156).
157). 158).
159). 160).
S547 = 4 + (547 −1) ⋅ (11)
= 4 + (546) ⋅ (11)
= 4 + (6006)
= 6010
S159 = −3 + (159 −1) ⋅ (10)
= −3 + (158) ⋅ (10)
= −3 + (1580)
= 1577
S711 = 8 + (711 −1) ⋅ (8)
= 8 + (710) ⋅ (8)
= 8 + (5680)
= 5688
S786 = 3 + (786 −1) ⋅ (2)
= 3 + (785) ⋅ (2)
= 3 + (1570)
= 1573
S873 = 2 + (873 −1) ⋅ (−3)
= 2 + (872) ⋅ (−3)
= 2 + (−2616)
= −2614
S754 = 8 + (754 −1) ⋅ (2)
= 8 + (753) ⋅ (2)
= 8 + (1506)
= 1514
S495 = 7 + (495 −1) ⋅ (−9)
= 7 + (494) ⋅ (−9)
= 7 + (−4446)
= −4439
S826 = −7 + (826 −1) ⋅ (−8)
= −7 + (825) ⋅ (−8)
= −7 + (−6600)
= −6607
S458 = −9 + (458 −1) ⋅ (11)
= −9 + (457) ⋅ (11)
= −9 + (5027)
= 5018
S250 = −3 + (250 −1) ⋅ (−3)
= −3 + (249) ⋅ (−3)
= −3 + (−747)
= −750
S764 = 2 + (764 −1) ⋅ (7)
= 2 + (763) ⋅ (7)
= 2 + (5341)
= 5343
S862 = 6 + (862 −1) ⋅ (1)
= 6 + (861) ⋅ (1)
= 6 + (861)
= 867
S637 = −1 + (637 −1) ⋅ (−4)
= −1 + (636) ⋅ (−4)
= −1 + (−2544)
= −2545
S308 = 2 + (308 −1) ⋅ (−4)
= 2 + (307) ⋅ (−4)
= 2 + (−1228)
= −1226
S511 = −7 + (511 −1) ⋅ (−7)
= −7 + (510) ⋅ (−7)
= −7 + (−3570)
= −3577
S771 = 7 + (771 −1) ⋅ (8)
= 7 + (770) ⋅ (8)
= 7 + (6160)
= 6167
S326 = 2 + (326 −1) ⋅ (8)
= 2 + (325) ⋅ (8)
= 2 + (2600)
= 2602
S153 = 3 + (153 −1) ⋅ (−3)
= 3 + (152) ⋅ (−3)
= 3 + (−456)
= −453
161). 162).
163). 164).
165). 166).
167). 168).
169). 170).
171). 172).
173). 174).
175). 176).
177). 178).
S779 = −1 + (779 −1) ⋅ (−4)
= −1 + (778) ⋅ (−4)
= −1 + (−3112)
= −3113
S934 = 2 + (934 −1) ⋅ (6)
= 2 + (933) ⋅ (6)
= 2 + (5598)
= 5600
S120 = 6 + (120 −1) ⋅ (2)
= 6 + (119) ⋅ (2)
= 6 + (238)
= 244
S160 = −10 + (160 −1) ⋅ (4)
= −10 + (159) ⋅ (4)
= −10 + (636)
= 626
S724 = −6 + (724 −1) ⋅ (−7)
= −6 + (723) ⋅ (−7)
= −6 + (−5061)
= −5067
S157 = 2 + (157 −1) ⋅ (−3)
= 2 + (156) ⋅ (−3)
= 2 + (−468)
= −466
S554 = −7 + (554 −1) ⋅ (−9)
= −7 + (553) ⋅ (−9)
= −7 + (−4977)
= −4984
S880 = −4 + (880 −1) ⋅ (1)
= −4 + (879) ⋅ (1)
= −4 + (879)
= 875
S234 = 6 + (234 −1) ⋅ (−8)
= 6 + (233) ⋅ (−8)
= 6 + (−1864)
= −1858
S516 = −1 + (516 −1) ⋅ (−4)
= −1 + (515) ⋅ (−4)
= −1 + (−2060)
= −2061
S528 = −4 + (528 −1) ⋅ (−9)
= −4 + (527) ⋅ (−9)
= −4 + (−4743)
= −4747
S124 = −8 + (124 −1) ⋅ (2)
= −8 + (123) ⋅ (2)
= −8 + (246)
= 238
S517 = 8 + (517 −1) ⋅ (7)
= 8 + (516) ⋅ (7)
= 8 + (3612)
= 3620
S531 = −3 + (531 −1) ⋅ (−3)
= −3 + (530) ⋅ (−3)
= −3 + (−1590)
= −1593
S970 = −2 + (970 −1) ⋅ (−9)
= −2 + (969) ⋅ (−9)
= −2 + (−8721)
= −8723
S271 = 8 + (271 −1) ⋅ (1)
= 8 + (270) ⋅ (1)
= 8 + (270)
= 278
S930 = −5 + (930 −1) ⋅ (5)
= −5 + (929) ⋅ (5)
= −5 + (4645)
= 4640
S577 = −3 + (577 −1) ⋅ (−3)
= −3 + (576) ⋅ (−3)
= −3 + (−1728)
= −1731
179). 180).
181). 182).
183). 184).
185). 186).
187). 188).
189). 190).
191). 192).
193). 194).
195). 196).
S297 = 10 + (297 −1) ⋅ (10)
= 10 + (296) ⋅ (10)
= 10 + (2960)
= 2970
S342 = 1 + (342 −1) ⋅ (2)
= 1 + (341) ⋅ (2)
= 1 + (682)
= 683
S392 = −10 + (392 −1) ⋅ (−3)
= −10 + (391) ⋅ (−3)
= −10 + (−1173)
= −1183
S532 = 8 + (532 −1) ⋅ (8)
= 8 + (531) ⋅ (8)
= 8 + (4248)
= 4256
S397 = 10 + (397 −1) ⋅ (7)
= 10 + (396) ⋅ (7)
= 10 + (2772)
= 2782
S141 = 8 + (141 −1) ⋅ (−6)
= 8 + (140) ⋅ (−6)
= 8 + (−840)
= −832
S741 = 7 + (741 −1) ⋅ (−9)
= 7 + (740) ⋅ (−9)
= 7 + (−6660)
= −6653
S228 = 3 + (228 −1) ⋅ (9)
= 3 + (227) ⋅ (9)
= 3 + (2043)
= 2046
S492 = 9 + (492 −1) ⋅ (−9)
= 9 + (491) ⋅ (−9)
= 9 + (−4419)
= −4410
S617 = −6 + (617 −1) ⋅ (9)
= −6 + (616) ⋅ (9)
= −6 + (5544)
= 5538
S932 = 7 + (932 −1) ⋅ (−8)
= 7 + (931) ⋅ (−8)
= 7 + (−7448)
= −7441
S120 = 8 + (120 −1) ⋅ (3)
= 8 + (119) ⋅ (3)
= 8 + (357)
= 365
S465 = 7 + (465 −1) ⋅ (11)
= 7 + (464) ⋅ (11)
= 7 + (5104)
= 5111
S957 = −7 + (957 −1) ⋅ (−3)
= −7 + (956) ⋅ (−3)
= −7 + (−2868)
= −2875
S760 = −4 + (760 −1) ⋅ (−2)
= −4 + (759) ⋅ (−2)
= −4 + (−1518)
= −1522
S346 = 5 + (346 −1) ⋅ (7)
= 5 + (345) ⋅ (7)
= 5 + (2415)
= 2420
S871 = 7 + (871 −1) ⋅ (−2)
= 7 + (870) ⋅ (−2)
= 7 + (−1740)
= −1733
S991 = −3 + (991 −1) ⋅ (2)
= −3 + (990) ⋅ (2)
= −3 + (1980)
= 1977
197). 198).
199). 200).
S491 = −5 + (491 −1) ⋅ (3)
= −5 + (490) ⋅ (3)
= −5 + (1470)
= 1465
S599 = 10 + (599 −1) ⋅ (9)
= 10 + (598) ⋅ (9)
= 10 + (5382)
= 5392
S438 = −6 + (438 −1) ⋅ (−6)
= −6 + (437) ⋅ (−6)
= −6 + (−2622)
= −2628
S115 = 3 + (115 −1) ⋅ (7)
= 3 + (114) ⋅ (7)
= 3 + (798)
= 801