Find the Twenty-fourth Harmonic
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Let x[n] represent the sum of three signals:
x[n]=x_1[n]+x_2[n]+x_3[n]
where x_1[n] is periodic with a period of 3,
x_2[n] is periodic with a period of 4,
and x_3[n] is periodic with a period of 5,
Let X[k] represent the Fourier series coefficients for x[n]:
X[k] = {1\over N}\sum_{n=\left\langle N\right\rangle}x[n]e^{-j{2\pi k n \over N}}
where N represents the smallest positive integer for which x[n]=x[n+N] for all n.