Solved: Closed Form Solution for SIGMA e^(i/n)

[Dissonance in E]

Homework Statement

Find the closed form value for

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

Homework Equations

?

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

 

[phyzguy]

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

 

[Mark44]

Homework Statement

Find the closed form value for

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

Homework Equations

?

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

Might this be a geometric series?

 

[phyzguy]

Looks like it to me!