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A G.P consisting of terms with positive terms. If each term is equal to the sum of the next two terms, then the common ratio of G.P is

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a
5−12
b
−5−12
c
−1±52
d
5+12

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detailed solution

Correct option is A

Given that in a geometric progression, each term is equal to the sum of the next two terms  it implies that  an=an+1+an+2 arn-1=arn+arn+1 cancel out the common factors  we get r2+r-1=0 Solving the quadratic equation  we get  r=-1±52 Since all the terms are positive take positive common ratio  therefore, r= 5-12


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