Question:
The value of \(i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3}\), where \(i = \sqrt{-1}\), is
\(i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3}\) का मान, जहाँ \(i = \sqrt{-1}\) है, क्या है?
Options:
- i
- -i
- 1
- 0
- i
- -i
- 1
- 0
Correct Answer: d)
Explanation:
\(i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3} = i^{2n}(1 + i + i^2 + i^3) = i^{2n}(1 + i – 1 – i) = i^{2n}(0) = 0\).
\(i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3} = i^{2n}(1 + i + i^2 + i^3) = i^{2n}(1 + i – 1 – i) = i^{2n}(0) = 0\)।