SOLUTION: 35. Find the sum of this series: –1458 + 486 – 162 + 54 – … ; 7th term.
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Question 1086815: 35. Find the sum of this series: –1458 + 486 – 162 + 54 – … ; 7th term.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The sum of n terms of a geometric series is S_n = a*(1-r^n)/(1-r) where a is the 1st term and r is the common ratio.
This is a geometric series with r = -1/3
Thus S_7 = -1458*(1-(-1/3)^7)/(1-(-1/3)) = -1094
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