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## Homework Statement

Compute the Fourier sine series for the given function:

f(x) = -1 0<x<1

## Homework Equations

http://mathworld.wolfram.com/FourierSineSeries.html

## The Attempt at a Solution

I got:

b

_{n}= 2 * integral( (-1) * sin(npix) dx) from 0 to 1

= 2*(-1)^n/(npi)

however, the answer in the back of the book turns n=2k-1

I don't get why it does this! For most of the problems I've done so far, n has always just been n, why did they suddenly replace it with 2k-1?

How do I know when I should set n equal to something and when not to? How do I know what n should be equal to?