SOLUTION: Find the sum of the geometric series 1+1/3+4/9+8/9+...

Question 1098493: Find the sum of the geometric series
1+1/3+4/9+8/9+...
Found 2 solutions by KMST, richwmiller:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is not exactly a geometric series
is a geometric series
with first term and common ratio .
For any geometric series with ,
the sum to infinity can be calculated as
,
so

If what you really want to calculate is
,
then
.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1+2/3+4/9+8/9+16/27+32/81+"..." is not a geometric series either.
4/9*2/3 doesn't equal 8/9
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