## Question

###### Use generating functions to solve simultaneously the following recurrences:@n+1an + bn + Cn,n > 1,bn+1 = 4n _ Cn,n 2 1,Cn+l = 4n _ bn,n > 1,he initial conditions @1 = b1 = C1 = 1.

Use generating functions to solve simultaneously the following recurrences: @n+1 an + bn + Cn,n > 1, bn+1 = 4n _ Cn,n 2 1, Cn+l = 4n _ bn,n > 1, he initial conditions @1 = b1 = C1 = 1.

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