Multiple Choice Question (MCQ)
If i=\sqrt{1} , for which of the following values of n does i^n+(i)^n have a positive values?

×
23

✓
24

×
25

×
26

×
27
If i=\sqrt{1} , for which of the following values of n does i^n+(i)^n have a positive values?
23
24
25
26
27
Raising the powers of i, a pattern develops.
i^1 = i
i^2 = 1
i^3= i
i^4= 1
i^5= i
Raising the powers of i, another pattern develops.
(i)^1 = i
(i)^2 =1
(i)^3 = i
(i)^4 = 1
(i)^5 = i
So when the powers of i and i is multiples of 4, their exponents are both equal to 1. That is,
When n=24 , i^n+(i)^n=1=1=2