Question

determine o oitavo termo da P.G. (1/16,1/32,1/64)

Answer 1

Resposta:

$\dfrac{1}{2048}$

Explicação passo-a-passo:

$q=\dfrac{\frac{1}{32}}{\frac{1}{16}}=\dfrac{1}{32}\cdot\dfrac{16}{1}=\dfrac{1}{2}$

$a_8=a_1\cdot q^7$

$a_8=\dfrac{1}{16}\cdot\left(\dfrac{1}{2}\right)^7$

$a_8=\dfrac{1}{16}\cdot\dfrac{1}{128}$

$a{8}=\dfrac{1}{2048}$