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Example 3enouo that

Answer»

any integer when divided by 4 gives a quotient q, and a reminder which is either 0, 1, or 2 or 3...

so N = 4q or 4 q +1 or 4 q+2 or 4 q+3 for a nonnegative integer q. 4 q and 4 q + 2 are even numbers. it is quite obvious.

hence any odd positive integer is of the form 4q +1 or 4 q +3

equivalently also we can say N is of the form: 4 q - 1 or 4q - 3

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