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Math Help - Complex numbers

  1. #1
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    Complex numbers

    Let a_0=a_1=1 and a_n=a_{n-2}+ia_{n-1} for n>1.
    Find a_{2008}
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  2. #2
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    Excel ran out of number spaces, but here is a start:
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  3. #3
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    Quote Originally Posted by mathceleb View Post
    Excel ran out of number spaces, but here is a start:
    How are you getting those numbers? Note that i here stands for the imaginary unit, i=\sqrt{-1}
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  4. #4
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    This is known sequence with period of 12.
    It repeats itself for each 12 just as i repeats every four.
    Use mod(12) to get the answer.
    Attached Thumbnails Attached Thumbnails Complex numbers-sqee3.gif  
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  5. #5
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    Quote Originally Posted by math sucks View Post
    How are you getting those numbers? Note that i here stands for the imaginary unit, i=\sqrt{-1}


    I thought i was the number of the term, i.e., 1st term is 1, 2nd term is 2. -2 points for me, sorry about that.

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