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


   



Question 41795: Find the sum of the infinite geometric series 36 + 24 + 16 +... if it exists
Answer by fractalier(6550) About Me  (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