SOLUTION: In a geometric progression coasting of positive terms each term equals to thw sum of the next two terms then the common ratio is

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Question 1019397: In a geometric progression coasting of positive terms each term equals to thw sum of the next two terms then the common ratio is

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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In a geometric progression highlight%28cross%28coasting%29%29 consisting of positive terms each term equals
to the sum of the next two terms then the common ratio is
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a%5Bn%5D = a%5Bn%2B1%5D+%2B+a%5Bn%2B2%5D  --->  a%5B1%5D%2Aq%5E%28n-1%29 = a%5B1%5D%2Aq%5E%28n%29 + a%5B1%5D%2Aq%5E%28n%2B1%29  --->  1 = q+%2B+q%5E2  --->  q%5E2+%2B+q+-+1 = 0  --->

q = %28sqrt%285%29-1%29%2F2.


It is your answer.