Using the fundamental definition of discrete Fourier transform (DFT), X[k]= N1n= 0x(n)e(j2knN), X [ k ] = n = 0 N 1 x ( n ) e ( j 2 k n N ) , find the numerical values of the term X[1] (i.e., the value of X[k] for k = 1) X [ 1 ] ( i . e . , the value of X [ k ] for k = 1 ) of a periodic sequence with a digital period of 4, if the first four terms of the sequence are given by 2, 5, 2, 1.

(TCO 7) Using the fundamental definition of discrete Fourier transform (DFT), N-1 xlk]: .or(ne .find r(n)eN ,find the numerical values of the term X .e., the value of X [k] fork -1) of a periodic sequence with a digital period of 4, if the first four terms of the sequence are given by 2, 5, 2, 1