Complex Numbers And Quadratic Equations question 393

Question: $ i^{2}+i^{4}+i^{6}+…… $ upto $ (2n+1) $ terms = [EAMCET 1980; Kerala (Engg.) 2005]

Options:

A) $ i $

B) $ -i $

C) 1

D) $ -1 $

Show Answer

Answer:

Correct Answer: D

Solution:

Given expression is $ -1+1-1+1+….. $ upto $ (2n+1) $ terms Obviously number of terms is odd, so expression has the value -1.