\(\sum_{n=1}^{∞}(\frac{2}{3})^n\)
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....!!!