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**1. how do i find the period of summation of some function ie: 2^-k or cos(pi k) multiplied by some complex exponential e**

ie: f( t ) = [tex]\sum[/tex]2

^{i7kt}ie: f( t ) = [tex]\sum[/tex]

^{-k}e

^{i7kt}

**2. does anyone know the formula for finding the period of summations of complex exponentials? note this is for fourier**

**3. would i say that omega is 7k by Euler's method. if i converted to sines and cosines, thus the period T = 2pi/7?**

is this how i would find the period of this summation?

is this how i would find the period of this summation?