SOLUTION: Please help Find the sum of the infinite geometric series 36+24+16+...if it exists. I must show my work and am lost. Thanks

Algebra ->  Sequences-and-series -> SOLUTION: Please help Find the sum of the infinite geometric series 36+24+16+...if it exists. I must show my work and am lost. Thanks      Log On


   

Question 169220: Please help
Find the sum of the infinite geometric series 36+24+16+...if it exists.
I must show my work and am lost.
Thanks
Answer by chiefman(11) About Me  (Show Source):
You can put this solution on YOUR website!
36+24+16+.......
we have the first term (a)=36
now finding common ratio(r) we have
r=24/36 or 16/24 which gives 2/3
using the formula
S=%28a%2F%281-r%29%29 where a=first term,r=common ratio and S is the sum to infinity
we have S=36/(1-2/3)
=108 Ans