Discrete Mathematics
posted by Vevea Tepou .
Suppose a0, a1, a2 ,... is a sequence defined recursively as follows:
a1 = 1, a2 = 2, a3 = 3 and ak = ak1 + ak2 + ak3 for all integers k > 3.
Use strong induction to show that an < 2n for all integers n ≥ 1.
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