Guest Posted October 25, 2009 Report Share Posted October 25, 2009 A sequence {A_{n}} of positive integers is such that: A_{1} = 20, A_{2} = 30, and: A_{n+2} = 3*A_{n+1} – A_{n}, whenever n ≥ 1. Determine all possible positive integer value(s) of n such that: 1 + 5*A_{n+1}* A_{n} is a perfect square. Quote Link to post Share on other sites

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A sequence {A

_{n}} of positive integers is such that:A

_{1}= 20, A_{2}= 30, and:A

_{n+2}= 3*A_{n+1}– A_{n}, whenever n ≥ 1.Determine all possible positive integer value(s) of n such that:

1 + 5*A

_{n+1}* A_{n}is a perfect square.## Link to post

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