Let $\displaystyle a_0=a_1=1$ and $\displaystyle a_n=a_{n-2}+ia_{n-1}$ for $\displaystyle n>1$. Find $\displaystyle a_{2008}$
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Excel ran out of number spaces, but here is a start:
Originally Posted by mathceleb Excel ran out of number spaces, but here is a start: How are you getting those numbers? Note that $\displaystyle i$ here stands for the imaginary unit, $\displaystyle i=\sqrt{-1}$
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.
Originally Posted by math sucks How are you getting those numbers? Note that $\displaystyle i$ here stands for the imaginary unit, $\displaystyle i=\sqrt{-1}$ I thought $\displaystyle i$ was the number of the term, i.e., 1st term is 1, 2nd term is 2. -2 points for me, sorry about that. Check your PM.
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