okiedokie does this converge or diverge

Question

+1

1034

3

+577

$\sum_{n=1}^{∞}(\frac{2}{3})^n$

if it converges what number does it converge to

CPhill · Answer 1 · 2018-02-28T04:18:35

We have the following terms

2/3 + (2/3)^2 + (2/3)^3 + (2/3)^4 + .....

The common ratio between terms is (2/3)....so....this converges to :

(2/3) / [ 1 - 2/3] =

(2/3) / (1/3) =

(2/3) * (3/1) =

2

​ okiedokie does this converge or diverge