PROGRESSÃO ARITMÉTICA - GABARITO

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5 g,
12 g,
R$ 3,2
12 g, 5 g,
R$ 65 R$ 70
R$ 75 R$ 80
R$ 15 R$ 20
R$ 20 R$ 25
R$ 55 R$ 60
(a, b, 3, c)
8.
30. 10. 15.− 20.−
3 cm.
0,01cm 100
 
 
 
3,14.π 
9,4 m. 11,0 m. 18,8 m. 22,0 m. 25,1m.
286
13. 18. 14. 16. 21.
1 2 3 7a , a , a , , a
4a
128.
128 129.
129 130.
130.
na r, 8a 16= 14a 4.=
nS n na , n, nS 220,=
12 11 14 16 18
1050 900 850
 
 
 
150. 450. 550. 700. 800.
1.200 1.600 3.200 800 2.600
R$ 1.000,00,
R$ 20,00
R$ 18.480,00 R$ 18.240,00 R$ 18.000,00 R$ 17.760,00 R$ 17.520,00
40
1 5,
589. 595. 789. 795.
 
 
 
5 12 7
g.
2025 2019 6
−
= −
−
12 g,
7
g,
6
14
g,
6
42
7 g.
6
=
1 7 42 49
6 g.
2 6 6 2
 
 +  = 
 
49
3,2 78,4,
2
 =
75 80
r
(a, b, 3, c) (3 2r, 3 r, 3, 3 r).= − − +
8,
3 2r 3 r 3 3 r 8 r 2.− + − + + + =  =
( 1) 1 3 5 15.−    = −
3,01 4
2 3,01 2 3,02 2 4 2 100
2
2201,14cm
22 m.
π π π π
+
 +  + +  =  


 
 
 
2(1, 4, 9,16, , n , ),
(4, 6, 8, 10, , 2n 2, ),+ n
286
2 2n 2n 2 286 n 2n 288 0
n 18.
= + +  − − =
 =
1 1
1 2 7
1
4
a a 6r
a a a 180 (7 2) 7 180 5
2
900
a 3r
7
4
a 128 .
7
+ + 
+ + + =   −   =   
 

 + =
 
 = +  
 
4a 128 129
( )
( ) ( ) ( )
8 1
14 1
1 1
n
n 2
n
2
2
a a 7r 16
a a 13r 4
6r 12 r 2
a 14 16 a 30
a 30 2 n 1 31 2n
30 a n 30 32 2n n 62 2n n
S 220 220 220 62n 2n 440 0
2 2 2
n 31n 220 0
31 4 ( 1) ( 220) 81
n 20
31 81
n ou
2 ( 1)
n 11
= + =

= + =
= − → = −
− =  =
= −  − = −
+  + −  − 
= = → = → = → − − =
− + − =
 = −  −  − =
=
− 
= =
 −
=
n 11.
900 50.−
900 4 ( 50) 700.+  − =
 
 
 
2.
( ) ( )
40 1 40
1 n
40 40
a a (n 1) r 1 39 2 a 79 árvores
n a a 40 1 79
S S 1600 árvores
2 2
= + −  = +   =
 +  +
= =  =
20−
1000. 1000 23 20 R$ 540,00.−  =
1000 540
24 R$ 18.480,00.
2
+
 =
( )30 30
1ºcartão 1,2,3,4,5
2ºcartão 5,6,7,8,9
3ºcartão 9,10,11,12,13
Pr imeiro número de cada cartão 1,5,9 PA r 4
a 1 30 1 4 a 117
30ºcartão 117,118,119,120,121
117 118 119 120 121 595



   =
= + −   =

+ + + + =