Question

Identify the series as geometric or arithmetic. 2, 4/3, 8/9, 16/27

Answer 1

Hello,

$\dfrac{\frac{4}{3}}{2}=\dfrac{4}{6}=\dfrac{2}{3}$

$\dfrac{\frac{8}{9}}{\frac{4}{3}}=\dfrac{8*3}{9*4}=\dfrac{2}{3}$

$\dfrac{\frac{16}{27}}{\frac{8}{9}}=\dfrac{16*9}{27*8}=\dfrac{2}{3}$

The sequence is geometric .
(a serie is a sum)