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Question

‌in a g.p. of positive terms. Any term is equal to the sum of next two terms .find common ratio

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Solution

Dear student
Let the series a,ar,ar2,.... are in Geometric progressionGiven a=ar+ar2ar2+ar-a=0r2+r-1=0r=-1±12-41-12r=-1±1+42r=-1±52r=5-12 or r=-5-12 r=5-12 terms of a G.P are positive r should be positive
Regards

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