Question: 5. Prove that 12 + 32 + 52 + ... + (2n + 1)2 = (n+ 1) (2n+ 1)(2n + 3) /3 whenever n is

5. Prove that 12 + 32 + 52 + ... + (2n + 1)2 = (n+ 1) (2n+ 1)(2n + 3) /3 whenever n is a nonnegative integer. 6. Prove that 1 . 1! + 2 . 2! + ... + n . n! = (n+ 1)! -1 whenever n is a positive integer

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