What are the magnitudes of the 8point DFT samples of the x1n

What are the magnitudes of the 8-point DFT samples of the x_1(n) = 9, 9, 9, 9, 9, 9, 9, 9, 9 sequence (explain how you arrived at your solution)? The x_2 (n) = 1, 0, 0, 0, 0, 0, 0, 0 sequence? The x_3(n) = 0, 1, 0, 0, 0, 0, 0, 0 sequence? Because the x_3(n) sequence in Part (c) is merely a time-shifted version of the x_2(n) sequence in Part (b), comment on the relationship of the |X_2(m)| and |X_3(m)| DFT samples.

Solution

a) x1(n)=8

b) x2(n) =10