How to calculate fourier coefficients of sum of two discrete time with different fundamental periods

1. How do you find the sum of the Fourier coefficients?
2. How do you find the fundamental period of a Fourier series?
3. What is the formula for discrete time Fourier series?

How do you find the sum of the Fourier coefficients?

σn(x)=n∑k=0(1−kn+1)Ak(x).

How do you find the fundamental period of a Fourier series?

A function f is periodic of period T if f(x+T) = f(x) for all x in the domain of f. The smallest positive value of T is called the fundamental period. For example, both sin x and cos x have fundamental period 2π, whereas tan x has fundamental period π. A constant function is periodic with arbitrary period T.

What is the formula for discrete time Fourier series?

x2[n]=1+cos(π4n)+sin(π2n) x 2 [ n ] = 1 + cos ⁡ ( π 4 n ) + sin ⁡