Suppose that the sequence {an} ∞ n=0 is defined recursively by a0 = 2, a1 = 3, a2 = 1, and, for any integer n
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Question:
Suppose that the sequence {an} ∞ n=0 is defined recursively by a0 = 2, a1 = 3, a2 = 1, and, for any integer n ≥ 3,
an = an−1 + an−2 − 2an−3.
Find a3, a4, and a5.