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Let a0 = 1, a1 = 2, a2 = 4, and an = an-1 + an-3...

Let a0 = 1, a1 = 2, a2 = 4, and an = an-1 + an-3 for n>= 3.

Let P(n) denote an an <= 2^n.

Prove that P(n) for n>= 0 using strong induction:

(a) (1 point) Show that P(0), P(1), and P(2) are true, which completes

the base case.

(b) Inductive Step:

i. (1 point) What is your inductive hypothesis?

ii. (1 point) What are you trying to prove?

iii. (2 points) Complete the proof:

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