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

Kevin Charles

Answered question

2022-10-22

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

Answer & Explanation

Plutbantonavv

Plutbantonavv

Beginner2022-10-23Added 15 answers

The numbers are
−160,80,−40,20,−10,5
and these numbers may be obtained by multiplying the 1st term by r = - 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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