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Math Help - Sequence...

  1. #1
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    Sequence...

    Find anfor this sequence:

    5, 6, 7, 5, 6, 7, 5, 6, 7, ...
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bearej50 View Post
    Find anfor this sequence:

    5, 6, 7, 5, 6, 7, 5, 6, 7, ...
    you can use a piece-wise definition: 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 n \equiv m \bmod 3? It means n = m + 3k for some integer k
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  3. #3
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    I am familiar with this notation but I was looking for a more generalized formula. For example, for the sequence: 5, 7, 5, 7, .... an = 6 - (-1)^(n+1)
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