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.