Asked by Philip Martinson
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
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
Answers
Answered by
oobleck
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
∑1/27^n + ∑(5/27)^n
both of these are just geometric series, which you know how to sum.
The result is 38/143
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.