SOLUTION: please help me solve the following: determine whether the infinite geometric series converges or diverges. Find its sum 5-5/3+5/9-5/27+... thank you

Question 929347: please help me solve the following: determine whether the infinite geometric series converges or diverges. Find its sum
5-5/3+5/9-5/27+... thank you
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
{5,-5/3,+5/9,-5/27,... }
r = -1/3
= = 15/4
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The initial term is
The common ration is

Note: that the common ratio is , and that
since we know that the infinite geometric series
This is
so the series converges and has a sum of .

RELATED QUESTIONS
Please help me solve this . Determine whether the given series converges or... (answered by Boreal)
Determine if the infinite geometric series converges or diverges. If the series... (answered by Fombitz)
For the infinite geometric series below, identify whether it converges or diverges.... (answered by greenestamps,math_tutor2020)
For the infinite geometric series below, identify whether it converges or diverges.... (answered by jim_thompson5910)
Please help me solve this problem. It says, Decide whether each infinite geometric... (answered by jim_thompson5910)
Determine whether the infinite geometric series converges. If it does, then find the sum (answered by jim_thompson5910)
Determine whether the infinite geometric series converges. If the series converges,... (answered by Edwin McCravy)
How to determine whether the sequence converges or diverges?... (answered by Edwin McCravy)
How to determine whether the series converges or diverges? 1/16+1/49+1/100+1/169+... (answered by robertb)