SOLUTION: Find the sum of the infinite geometric series 36 + 24 + 16 +... if it exists
Algebra
->
Sequences-and-series
-> SOLUTION: Find the sum of the infinite geometric series 36 + 24 + 16 +... if it exists
Log On
Algebra: Sequences of numbers, series and how to sum them
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Sequences-and-series
Question 41795
:
Find the sum of the infinite geometric series 36 + 24 + 16 +... if it exists
Answer by
fractalier(6550)
(
Show Source
):
You can
put this solution on YOUR website!
The sum of an infinite geometric series is
S = a1 / (1-r) where a1 is the first term and r is the common ratio...here we have
S = 36 / (1-2/3)
S = 36 / (1/3)
S = 108