PERGUNTA 2 Na demonstração do teorema: Para todo n element of straight natural numbers, n greater or equal than 1, 1 plus 3 plus... plus left pare...

PERGUNTA 2 Na demonstração do teorema: Para todo n element of straight natural numbers, n greater or equal than 1, 1 plus 3 plus... plus left parenthesis 2 n minus 1 right parenthesis equals n squared, utilizando o Princípio da Indução Finita, assinale a alternativa que corresponde à sequência correta de passos a serem seguidos: a. Verificar que 1 equals 1 squared e que 1 plus 3 equals 2 squared. b. Verificar que 1 plus 3 plus... plus left parenthesis 2 k minus 1 right parenthesis equals k squared, for all k element of straight natural numbers. c. Verificar que 1 equals 1 squared. Demonstrar que, se para k equals 100, 1 plus 3 plus... plus left parenthesis 2.100 minus 1 right parenthesis equals 100 squared, então 1 plus 3 plus... plus left parenthesis 2.101 minus 1 right parenthesis equals 101 squared d. Verificar que 1 plus 3 plus... plus 7 equals 4 squared. e. Verificar que 1 equals 1 squared. Depois, demonstrar que, para k element of straight natural numbers fixo, se 1 plus 3 plus... plus left parenthesis 2 k minus 1 right parenthesis equals k squared, então 1 plus 3 plus... plus left parenthesis 2 left parenthesis k plus 1 right parenthesis minus 1 right parenthesis equals left parenthesis k plus 1 right parenthesis squared.