# Find the sum of a geometric sequence whose first term is -160, whose last (nth) term is 5, and whose common ratio is -1/2

Kevin Charles 2022-10-22 Answered
Find the sum of a geometric sequence whose first term is -160, whose last (nth) term is 5, and whose common ratio is -1/2
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## Answers (1)

Plutbantonavv
Answered 2022-10-23 Author has 15 answers
The numbers are
−160,80,−40,20,−10,5
and these numbers may be obtained by multiplying the 1st term by $r=-\frac{1}{2}$ and so forth and so on...
Add all the terms algebraically
Sum=−160+80−40+20−10+5=−105
Sum=−105
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