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Let an be the sum of the first n perfect squares: a n = n?k=1 k 2 (a) Show that {an} satisfies the recurrence relation

Let an be the sum of the first n perfect squares: a_n = n?k=1 k² (a) Show that {an} satisfies the recurrence relation a_n = a_n ? 1 + n² with boundary condition a₁ = 1. (b) Find a closed form for a_n by solving the recurrence relation.

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