a) Show that the recurrence relation f(n)an = g(n)an-l +

Chapter 7, Problem 7.2.48

(choose chapter or problem)

a) Show that the recurrence relation f(n)an = g(n)an-l + h(n), for n :::: 1, and with ao = C, can be reduced to a recurrence relation of the form bn = bn-1 + Q(n)h(n), where bn = g(n + I)Q(n + l)an, with Q(n) = (f(1)f(2) f(n - 1 j(g(l)g(2) g(n. b) Use part (a) to solve the original recurrence relation to obtain C + ,7- 1 Q(i)h(i) an = . g(n + I)Q(n + 1)

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