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Math Help - Complex Numbers

  1. #1
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    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


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  2. #2
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    Quote Originally Posted by magentarita View Post
    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 ....

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  3. #3
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    I got it....

    Quote Originally Posted by mr fantastic View Post
    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 ....

    [/left]
    I can take it from here.

    Thanks
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