Question: 5 marks) Consider the sequence defined by recurrence relation do = 01 = 1 n(n - 1)an = (n -1)(n -2)an-1 - (n -3)an-2 for

5 marks) Consider the sequence defined by recurrence relation do = 01 = 1 n(n - 1)an = (n -1)(n -2)an-1 - (n -3)an-2 for n > 2. Find a formula for an, the general term of the sequence, by computing the first few terms of the sequence until you can recognize a pattern. Then, find E an. You can n=0 rn use a fact (without proving it ) that we will soon learn: e* = for each x E R. n! n=0

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