SOLUTION: i² = -1 , if n \[Element] Z then i ^(2 n + 1) = \[PlusMinus] i (T or F)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: i² = -1 , if n \[Element] Z then i ^(2 n + 1) = \[PlusMinus] i (T or F)      Log On


   

Question 1207796: i² = -1 , if n \[Element] Z then i ^(2 n + 1) = \[PlusMinus] i (T or F)
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


n is an integer, so 2n+1 is an odd integer.

i raised to any odd power is either i or -i.

ANSWER: TRUE