Give a reason for your answer. Assume that all

Chapter 4, Problem 12E

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QUESTION:

Give a reason for your answer in each of 1–13. Assume that all variables represent integers.

If n = 4k + 1, does 8 divide \(n^{2}− 1\)?

Text Transcription:

n^2-1

Questions & Answers

QUESTION:

Give a reason for your answer in each of 1–13. Assume that all variables represent integers.

If n = 4k + 1, does 8 divide \(n^{2}− 1\)?

Text Transcription:

n^2-1

ANSWER:

Solution:-

Step1

Given that

We have to give a reason for our answer. Let all variables represent integers. We have to If n = 4k + 1, does 8 divide n2 − 1?

Step2

8 divide − 1 :-yes

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