एक ईमानदार व्यक्ति नेहा सच्चाई का मान कभी नहीं छोड़ता है
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The given sequence is an A.P. with first term a=8−6i and common difference d=−1+2i. The nth term of the given A.P. is given by :
a
n
=a+(n−1)d=8−6i+(n−1)(−1+2i)=(9−n)+i(2n−8)
Let the nth term of the sequence is purely real.
Therefore,
(9−n)+i(2n−8) is purely real.
2n−8=0
n=4
So, 4th term of the sequence is purely real.
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