\(\sum_{n=1}^{∞}(\frac{2}{3})^n\)

if it converges what number does it converge to

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

thank you cphill

Glad to help, OBT....!!!