Recursive Sequences - Mathematics

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There seems to be a pattern, namely, that the denominators are powers of 4 and the numerators are just 1 larger than the denominators. We will try an D 4n1 C1 4n1 and check whether this is indeed a solution of the recursion. First, we need to check the initial condition: a1 D.40 C1/=40 D2=1 D2. This agrees with the given initial condition.

  Sequence, Denominators, Recursive, Numerator, Recursive sequences