Originally Posted by
magentarita The expression
i^100 + i^101 + i^102 equals
(1) 1 (3) –i
(2) –1 (4)
i NOTE: i^2 = -1 and the sqrt{-1} is i
Using the usual index laws the expression can be re-written as $\displaystyle (i^4)^{25} + i \, (i^4)^{25} + i^2 \, (i^4)^{25}$.
And you know what $\displaystyle i^4$ and $\displaystyle i^2$ are equal to ....