Complex Numbers And Quadratic Equations question 400
Question: The value of $ i^{n}+{i^{n+1}}+{i^{n+2}}+{i^{n+3}},(n\in N) $ is [RPET 2001]
Options:
A) 0
B) 1
C) 2
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ i^{n}+{i^{n+1}}+{i^{n+2}}+{i^{n+3}}=i^{n}[1+i+i^{2}+i^{3}] $ $ =i^{n}[1+i-1-i]=0 $ .
BETA
