Prove the following statement.
the square of any odd integer has the form 8m+1 for some integer m.

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form where . Consider the following cases.

Case 1. If is even we have: .

If we denote by we have that .

Case 2. if is odd we have: .

If we denote by we have that

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

#12 the answer is the third option

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6: 4= 3/2

18: 8= 9/4

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