Mathematics Homework Solutions
Problem
#56814

Discrete mathematics

Proper walk through of following proofs required ( for a better understanding )

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1) Prove that if n is an odd integer  then n2 = 1 mod 8


2) Prove that 5n+3 is divisible by 4 for all integers n>=0

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Proofs2Q.doc  View File

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Proofs2Q.doc
1) Prove that if n is an odd integer then n2 = 1 mod 8

( I suppose I would need to examine the case where k is odd and k is
even.. but I am getting stuck along the way..)

2) Prove that 5n+3 is divisible by 4 for all integers n>=0

I can’t seem to complete this properly I get to something in the likes
of 5k+5k+3 and I don’t know what to do next.. I need a proper walk
through

Solution Summary

There are two proofs; on regarding odd integers and one regarding divisibility.

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