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## Homework Statement

Find the sum of the series from k=0 to infinity of ((4^k)-(3^k))/(5^k)

## Homework Equations

I'm not sure exactly. I know the test for divergence is if lim n approaches infinity of the function from m=1 to infinity does not equal 0 then the series cannot diverge

## The Attempt at a Solution

see attached but really my work is a lame attempt at a test for divergence, and not so much an attempt at the sum. Please I need help finding the sum.