I am trying to use algebra to prove that
odd + even + odd = even
so I have three numbers, where n is odd.
I know that odd + odd = even but I can't prove this idea.
$$n, n + 1, n+ 2$$
where $n$ is odd, $n+1$ is even and $n+2$ is odd.
When I add them together, I get
$$3n+3 = 3(n+1)$$
but this can't make sense because when $n = 4$, $3 \times 5 = 15$
Thanks in advance.