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Repeated Substitution to solve a recurence.
I have to solve the following recurrence but I keep getting stuck. T(n) = 1, n=0 T(n) = T(n-1) + n^2, when n>1 I start by plugging in (n-1) into the function again to get... T(n)=(T(n-2)+(n-1)^2)+n^2 Which simplifies down to (T(n-2)+2n^2-2n+1. I then do it again and get this...- Kine
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- Substitution
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- Forum: Calculus and Beyond Homework Help