Unsure of what's happening in this fraction

Question

I can't seem to see what is happening to make this equivalence. More specifically, how the left-side's $n+1$ makes it into the right side's numerator. $$ \frac {n(n+1)} 2 + (n+1) = \frac {(n+1)(n+2)}2 $$

Answer 1

hint: Factor the $(n+1)$ using distributive property, and note also that $\dfrac{n}{2}+1 = \dfrac{n+2}{2}$