A) 1
B) - 1
C) i
D) 0
Correct Answer: D
Solution :
\[i+{{i}^{2}}+{{i}^{3}}+.......\]up to 1000 terms \[=\frac{i(1-{{i}^{1000}})}{1-i}=\]\[\frac{i(1-{{({{i}^{4}})}^{250}})}{1-i}\]\[=\frac{i(1-1)}{1-i}=0\].
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