Question

Question #c044f

Answer 1

The numbers are 1, 3, 5 and 7. Proof of this follows...

Explanation:

To create a general expression for an odd number, we could write

`2n+1`

because no matter what value `n` might have, `2n` is even, and `2n+1` is the next number, and must be odd.

So, our consecutive odd numbers would be:

`2n+1, 2n+3, 2n+5, 2n+7`

Add them:

`2n+1+ 2n+3+ 2n+5+ 2n+7=16`

`8n+16=16`

This is true only if `n=0`

So, out number are 1, 3, 5 and 7