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Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

A staircase is climbed taking 11 or 22 steps at a time. If W(n)W(n) counts the ways to climb nn steps, then W(1)=1W(1) = 1, W(2)=2W(2) = 2, and for n≥3n \ge 3, W(n)=W(n−1)+W(n−2)W(n) = W(n-1) + W(n-2) (the first move is a 11 or a 22). This is the setup for a strong induction. What is W(9)W(9)?

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