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				   if m isan  nth root of unity it self than the value of

1+m+m^2+.......+m^(n-1) is

6 years ago


Answers : (1)


Dear Manan Bhavsar,

Ans:- The series is a GP series with common ratio m

Then it's sum is=(1-m^n)/(1-m)

Now as m is the n th root of unity then, m^n=0

Hence the sum is 0 (ans).


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Soumyajit Das IIT Kharagpur

6 years ago

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