Question: Solve the recurrences by using backward substitution method. 1) T(n) = T(n-1) + 2^(3n) + (n+1)(n-1) . for n>1 with T(1) = 8; 2) T(n)

Solve the recurrences by using backward substitution method.

1) T(n) = T(n-1) + 2^(3n) + (n+1)(n-1) . for n>1 with T(1) = 8;

2) T(n) = T(n-1) + 3^(2n) + 4n^2 - 4n + 1. with T(0) = 1;

3) T(n) = T(n-1) + n(n^2 -1) ; T(0) = 0;

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