Question

Last one! Find the infinite sum, if it exists. THANK YOU!
(LOOK AT RESPONSE)

Answer 1

\[\sum_{n=1}^{\infty}(3/4)^{n}\]

Answer 2

This is an infinite geometric series with the common ratio equal to 3/4. Therefore the sum is equal to the first term of the series divided by (1-common ratio) or (3/4)/(1-(3/4)) = 3

Answer 3

Oh o.k. So infinite sum is 3?

Answer 4

yes

Answer 5

Awesome. Thanks guys! :)