Basic Series: Sum of 1/3 from i=1 to n

[phyguy321]

Homework Statement

what is $$\sum$$ i^1/3 from i=1 to n

Homework Equations

The Attempt at a Solution

is there an expansion for this?

 

[gabbagabbahey]

As long as $n$ is finite, the series will converge, but there is no closed form for this summation as terms get successively larger.

(unless the 'i' inside your sum is actually supposed to be $\sqrt{-1}$ rather than an iterator)