# A riddle, guess the word from the sum

What is $\left(a\sum_{n=2}^\infty w^n\right)!$

If you can't figure it out, here are 2 hints.

Hint 1: What is $$\sum_{V\subseteq U} \dim(V)$$? Where $$U$$ is a vector space of dishes for a yum cha.

Hint 2: On the internet, you will see the following variation. $\left(a\sum_{n=2}^\infty w^n\right)!!!!$

Here is an extra riddle for fun. $S = \{"p","e","r","s","o","n"\}$ What is $$\frac{1}{6} \sum_{s\in S} s$$? A mean person...