Question: please take your time and show your steps and justification 3. (5 marks) Consider the sequence defined by recurrence relation a0 = 01 = 1

please take your time and show your steps and justification 3.

please take your time and show your steps and justification

3. (5 marks) Consider the sequence defined by recurrence relation a0 = 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 an. You can n=0 OO use a fact (without proving it) that we will soon learn: e" = for each r E R. n! n=0

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