Question

# Show that every positive even integer is of the form $$2n$$ and every positive odd integer is of the form $$2n+1$$.

Solution

## By the definition of even number, every even number is divisble by $$2$$.$$E=2n$$ where $$n \in N$$.By the definition of odd number, every odd number is not divisble by $$2$$. The only possible remainder when divided with $$2$$ is $$1$$.Hence odd numbers can be of the form $$2n+1$$ where $$n$$ is the quotient when divided with $$2$$.$$O=2n+1$$ where $$n \in W$$Mathematics

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