Homework Help: Closed form solution

1. May 18, 2010

Dissonance in E

1. The problem statement, all variables and given/known data

Find the closed form value for

n
SIGMA e^(i/n)
i= 0

2. Relevant equations

?

3. The attempt at a solution

summation expands to
1 + e^(1/n) + e^(2/n) - - - - - e^1

To be honest i have no clue how to go about these kinds of problems so a general help would be nice.

Thanks

2. May 18, 2010

phyzguy

Try writing $$e^\frac{1}{n} = x, e^\frac{i}{n} = x^i$$, and see where that leads you.

3. May 18, 2010

Staff: Mentor

Might this be a geometric series?

4. May 18, 2010

phyzguy

Looks like it to me!