Question

Consider the series below: infinity "series symbol" n= 1 ((1+5^n)/(27^n)) determine whether or not the series converges. If it converges, find the sum.

Note:
I don't know how to solve or work out so show all your work. And give the answer in EXACT FORM example 3pi, sqrt(2), ln(2) not decimal approximations like 9.424,1.4242,1232
Break it into two sums.
∑1/27^n + ∑(5/27)^n
both of these are just geometric series, which you know how to sum.
The result is 38/143

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