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Given a_0 = 1 and a_1 = 5 and the general relation a_n^2 - a_{n + 1} = (-1)^n for n >= 1 find a_3

 Oct 23, 2022
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This is true: \(a_n^2 - a_{n + 1} = (-1)^n\)

And we have \(a_1 = 5\)

So this must be true: \(5^2-a_2=(-1)^1\), or \(26 = a_2\).

 

Similar logic:

\(26^2-a_3=(-1)^2\)

\(\fbox{$a_3=675$}\)

 Oct 23, 2022

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