Question: 1.Recursively define the sequence a n = (a n-1 + a n-2 ) / (a n-1 * a n-2 ) for n > 2, a

1.Recursively define the sequence an = (an-1 + an-2) / (an-1 * an-2) for n > 2, a0 = a1 = sqrt(2).

(a)Calculate the first 5 terms of the sequence

(b)Guess the general formula for an for any n in N

Use induction to prove the guess in part (b)

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