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Question

Q. The sum of the first two terms of a GP is -3 and the sum of the first 4 terms is -15. Find the sequence.

A
3, -6, 12, -24
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B
6, -12, 24, - 48
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C
1, 2, 4, 6
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D
3, -15, 75, -375
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E
None of these
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Solution

The correct option is A 3, -6, 12, -24
First term = a
Common ratio = r
a +ar = -3
a×(1+r+r2+r3)=15=a(1+r)+ar2(1+r)=15=a(1+r)(1+r2)=15=1+r2=5r=±2a=1for r=2,a=3forr=2
So possible terms are
-1, -2, -4, -8,
Or 3, -6, 12, -24

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