Question: Consider the Tribonacci sequence, defined as follows: T(1) = 1, T(2) = 1, T(3) = 1 T(n) = T(n-1) + T(n-2) + T(n-3), for

Consider the

Consider the "Tribonacci" sequence, defined as follows: T(1) = 1, T(2) = 1, T(3) = 1 T(n) = T(n-1) + T(n-2) + T(n-3), for all n > 3 Use induction to prove that T(n) < 2n, for all n >= 1.

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