In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then common ratio of the G.P. is

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12(1-5)

125

125-1

answer is D.

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Detailed Solution

We are given arn=arn+1+arn+2∀n≥1⇒ 1=r+r2⇒r2+r−1=0⇒r=12(−1±5)As G.P. is of positive terms, r>0. Thus, r=125-1

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