SOLUTION: The sum of the series 1/√3+1+3/√3+........... To 18 terms is ??
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Question 1113759: The sum of the series 1/√3+1+3/√3+........... To 18 terms is ??
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It is a geometric series, with first term and common ratio .
The sum of the first terms of a geometric series with first term and common ratio is
.
In this case, the sum of the first terms would be
ANOTHER WAY:
The 9 even numbered terms are
and add up to .
The 9 odd numbered terms must add up to .
Adding up both of those sums, we get
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