algebraic proof

[austere oak]

im slightly stupid

[foggy apex]

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+close

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[normal wolf]

Well, you can use the clue they've given you

All the odd numbers are of the form 2n + 1 and all the ven numbers are of the form 2n

Where n is a natural number

So just consider two numbers, a and b, that are odd

You need to show that a - b is even

[austere oak]

how can i do that +1 of a power of 2 or something?

[normal wolf]

No, not a power of two

Just two times something

So let

a = 2m + 1
b = 2n + 1

Now calculate a - b

[austere oak]

2(m-n)?

[normal wolf]

Yes!

And is that number even or odd?

[austere oak]

even?

[normal wolf]

Yup

[austere oak]

thank you so much makes much more sense

+close