DFT properties Problem, Prepare for Exams. Part-1

Here I have discussed the properties of DFT and how to approach problems with these properties.
Hope this will help you in exams.
The question for this discussion is :
Given an 14 point sequence X(n) which is a real sequence. The first eight points of the DFT is given as
X(0)= 12
X(1)=-1+3j
X(2)=3+4j
X(3)=1-5j
X(4)=-2+2j
X(5)=6+3j
X(6)=-2-3j
X(7)=10

Find the next points of the DFT ?

Please try out the example and give doubts in comment sessions.

The books for reference are-

Digital signal processing by Ramesh Babu
Digital signal processing principles algorithms and applications by John G proakis

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Видео DFT properties Problem, Prepare for Exams. Part-1 канала Easy Electronics