Question: 3. Let b, c E (C be any complex numbers. Consider the recursively dened sequence with initial condition a9 = c and an = band

3. Let b, c E (C be any complex numbers. Consider the recursively dened sequence with initial condition a9 = c and an = band + n2\" for n 2 1. (a) Use generating functions to nd a Closed formula for an in terms of n, b, and c. (b) Use generating functions to nd a closed formula, in terms of n for the sequence 1']. of partial sums 3n = E (11;. 19:0

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