Question

By the principal of mathematical induction prove that, for n>1​

Answer 1

Step-by-step explanation:

1)² (n + 1)(2n + 1) (2n + 3) =

To prove: 12+ 3² +5² + ... + (2n + for every 3 nonnegative integer n.

PROOF BY INDUCTION

Let P(n) be 12 + 3² +5² + + (2n + 1)² = (n + 1) (2n + 1)(2n + 3) 3

Basis step n =0

1² +3² +5² + ... + (2n + 1)² = 1² – 1 (n + 1) (2n + 1) (2n + 3) (0 + 1)(2(0)+ 3

We then note P(0) is true.

Induction step Let P(k) be true.

1² + 3² +5² + +(2k + 1)² (k + 1) (2

We need to prove that P(k+ 1) is also true.

Answer 2

Answer:

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