What are the different ways of getting an odd number besides using the formula 2n-1?

Question

Uh, it's for my Algebra research. I can't find it in the search engine. They mostly give off way far-off answers! Please INSERT link.

Answer 1

2n+1
even ± odd = odd
odd × odd = odd

Answer 2

Well 2n+1 for starters
Then 2n +/- any odd number at all
for example 2n +9 will always be odd.
These formulae will give you all the odd numbers if you plug in any integer for n.
If you don't have to have a formula that will give ALL the odd numbers but will always return an odd result then there are lots more options - eg 2^n +/- (any odd number) will always be odd.
Make up a few yourself - just make a formula like 4n^2 that always returns an even number, then add or subtract an odd number from this.

Answer 3

Well, 2n + 1 is also odd for all cases of n when 2n - 1 is odd.

Multiplying those two odd numbers is another way of getting more odd numbers.

Thus (2n - 1) (2n + 1) = 4n^2 - 1 and that will also give odd numbers.

Answer 4

2n+1
4n^2-1

Answer 5

I know two ways......
Odd + Even = Odd
Odd x Odd = Odd