Relationship between dft and dtft.

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Let X(e jω) is the DTFT of a discrete-time signal x[n] given as x[n] =(1/3)^n u[n].Determine a 6-point causal sequence a[n] whose 6-point DFT A[k] is the 6 samples of the DTFT X(ejω) such that A[k] = X(ej2πk/6 ) for k = 0, 1. . , 5 can I find the answer by without actually calculating dft or dtft.