Let X(ejω) denote the Fourier transform of the sequence x[n] = (0.5)nu[n]. Let y[n] denote a finite-duration sequence of length 10; i.e., y[n] = 0, n < 0, and y[n] = 0, n ≥ 10. The 10-point DFT of y[n], denoted by Y [k], corresponds to 10 equally spaced samples of X(ejω); i.e., Y [k] = X(ej2πk/10). Determine y[n].
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