Prove that there are infinitely many integers n such that:

μ(n) + μ(n+1) = 0?

***μ(n) represents the Mobius Function

I've been trying to use the Well-Ordering Axiom but to no success. I attempted to have a closed set and prove that there was a greater number that did not appear in the set but I'm having trouble.

Any help would be appreciated. Thanks!