Question

Calcule a soma dos termos da PG: (4, $\frac{8}{3}$ , $\frac{16}{9}$ , ... )

(4, 8/3, 16/9, ...)

Answer 1

Explicação passo-a-passo:

• $\sf q=\dfrac{\frac{8}{3}}{4}$

$\sf q=\dfrac{8}{3}\cdot\dfrac{1}{4}$

$\sf q=\dfrac{8}{12}$

$\sf q=\dfrac{2}{3}$

• $\sf S=\dfrac{a_1}{1-q}$

$\sf S=\dfrac{4}{1-\frac{2}{3}}$

$\sf S=\dfrac{4}{\frac{3-2}{3}}$

$\sf S=\dfrac{4}{\frac{1}{3}}$

$\sf S=4\cdot\dfrac{3}{1}$

$\sf S=12$