Here is the question. I have to prove it.(adsbygoogle = window.adsbygoogle || []).push({});

Prove that the square of an odd integer is always of the form 8k+1, which k is an integer.

Now I do not know how to start it. But this is what I came up with.

odd integer= 2k+1

therefore the square of an odd integer (2k+1)^2

i have used inductive reasoning to prove that is statement is correct

example

if k=1 then the expression becomes 9 (3^2)

if k =3 then the epression becomes 25 (5^2)

if k=6 then the expression becomes 49 (7^2)

now how to prove it with deductive reasonings.

I am not sure how to start this one.

Can you please give me a hint

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# Homework Help: Deductive proofs

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