SOLUTION: find the sum of the geometric series.
14 - 7 + 7/2 - 7/4 + ...
Algebra.Com
Question 22136: find the sum of the geometric series.
14 - 7 + 7/2 - 7/4 + ...
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
sum of GP = . However, your series is infinite... it goes on forever. Now, if -1 < r < +1, then this formula simplifies, becoming and is the sum to infinity.
To find r:
-7/14 --> -1/2. This is the common ratio, r and it satisfies the condition mentioned above, so we have a=14 and r=-1/2
Sum =
Sum =
Sum =
Sum =
which is 9 and a third.
jon.
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