Question

Determine o 9º termo da PG (6, 12, 24, ...)​

Answer 1

Resposta:

Esquema:

$n = 9;$

$a_1 = 6;$

$a_2 = 12;$

$q = \dfrac{a_2}{a_1} = \dfrac{12}{6} = 2;$

Fórmula do Termo Geral:

$a_n = a_1\times q^{(n -\,1)}$

Resolução:

$a_n = a_1\times q^{(n -\,1)}$

$a_9 = 6\times 2^{(9 -\,1)}$

$a_9 = 6\times 2^{8}$

$a_9 = 6\times 256$

$a_9 = 1536$

P. G = { 6, 12, 24, 48, 96,192,384, 768,1536}