Findfor this sequence:an

5, 6, 7, 5, 6, 7, 5, 6, 7, ...

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- Feb 15th 2010, 08:21 AMbearej50Sequence...
Find

for this sequence:*an*

5, 6, 7, 5, 6, 7, 5, 6, 7, ... - Feb 15th 2010, 09:12 AMJhevon
you can use a piece-wise definition: $\displaystyle a_n = \left \{ \begin{matrix} 5 & \text{ if } n \equiv 1 \bmod 3 \\ 6 & \text{ if } n \equiv 2 \bmod 3 \\ 7 & \text{ if } n \equiv 0 \bmod 3 \end{matrix} \right.$

are you familiar with the notation $\displaystyle n \equiv m \bmod 3$? It means $\displaystyle n = m + 3k$ for some integer $\displaystyle k$ - Feb 16th 2010, 05:48 PMbearej50
I am familiar with this notation but I was looking for a more generalized formula. For example, for the sequence: 5, 7, 5, 7, ....

*a*= 6 - (-1)^(*n**n+1*)