# Math Help - Complex Numbers

1. ## Complex Numbers

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

2. 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 $(i^4)^{25} + i \, (i^4)^{25} + i^2 \, (i^4)^{25}$.

And you know what $i^4$ and $i^2$ are equal to ....

3. ## I got it....

Originally Posted by mr fantastic
Using the usual index laws the expression can be re-written as $(i^4)^{25} + i \, (i^4)^{25} + i^2 \, (i^4)^{25}$.

And you know what $i^4$ and $i^2$ are equal to ....

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I can take it from here.

Thanks