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In a geometric progression coasting of positive terms each term equals to thw sum of the next two terms then the common ratio is? In a geometric progression coasting of positive terms each term equals to thw sum of the next two terms then the common ratio is?
Hi Rural, Given a geometric progression, let the GP be a,ar, ar2,ar3,.....,arn.Then the condition given here is a=ar+ar2 -(1)AND ar=ar2+ar3 (2lSubstuting 2 in one we get a = 2ar2+ar3-(3)Dividing 3 and 2a/ar=2ar2+ar3/ar2+ar3,1/r=2+r/1+r,1+r=2r+r2,r2+r-1=0,SOLVE THIS EQUATION AND THEN YOU WILL BE WITH YOUR ANSWER....HOPE THIS HELPED YOU.....
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