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  4. The sum of displaystyle∑ k =11000 k ( i k ) is equal to where i =√-1

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Q. The sum of $\displaystyle\sum_{ k =1}^{1000} k \left( i ^{ k }\right)$ is equal to
where $i =\sqrt{-1}$

Sequences and Series

Solution:

Correct answer is (b) $500(1- i )$