Let $\displaystyle a_0=a_1=1$ and $\displaystyle a_n=a_{n-2}+ia_{n-1}$ for $\displaystyle n>1$.

Find $\displaystyle a_{2008}$

Printable View

- Mar 20th 2008, 01:41 PMmath sucksComplex numbers
Let $\displaystyle a_0=a_1=1$ and $\displaystyle a_n=a_{n-2}+ia_{n-1}$ for $\displaystyle n>1$.

Find $\displaystyle a_{2008}$ - Mar 20th 2008, 01:48 PMmathceleb
Excel ran out of number spaces, but here is a start:

- Mar 20th 2008, 02:05 PMmath sucks
- Mar 20th 2008, 02:24 PMPlato
This is known sequence with

*period*of 12.

It repeats itself for each 12 just asrepeats every four.**i**

Use mod(12) to get the answer. - Mar 20th 2008, 03:20 PMmathceleb