1.

If w is the nth root of unity then what is the value of 1+w^1+w^2+....

Answer»

Let,

S=1+w+w2+w3+w4+.....

As we know that 1+w+w2=0 then,

S=1+w+w2+w(1+w+w2)+w2(1+w+w2)+...

S=0+w×0+w2×0+w3×0+....

S=0+0+0+0+0+...

S=0

Hence final answer is zero.



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