Question: Hi can you please explain these questions step by step? thank you 1) Prove the following proposition by using Proof by contrapositive. a)Let a, b

Hi can you please explain these questions step by step? thank you

1) Prove the following proposition by using Proof by contrapositive.

a)Let a, b be integers. if a + b is even, then a and b are either odd or both even.

2) Prove by Mathematical induction.

a) 16+11+.... +(5n+1) = 2n(5n+7) for n 1.

b) 4n+ 15n-1 is divisible by 9 for n 1.

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