Question

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

• A. $1000(1-i)$
• B. $500(1-i)$
• C. $1000(-1+i)$
• D. $500(-1+i)$

Answer 1

Answer: (B)

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