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  1. #1
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    Sequencs...

    The sequence 7, 12, 17, 22... can be generalized with the expression 5n+2. What is another expression that generalizes this sequence?
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by MATNTRNG View Post
    The sequence 7, 12, 17, 22... can be generalized with the expression 5n+2. What is another expression that generalizes this sequence?
    a_n=\begin{cases}5n+2 & \mbox{if}\quad n=1,2,3,4 \\ e^{\pi^n} & \mbox{if}\quad n\geqslant 5\end{cases}
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    Hello, MATNTRNG!

    The sequence 7, 12, 17, 22... can be generalized with the expression 5n+2.
    What is another expression that generalizes this sequence?
    How about a recursive function?

    . . a_n \:=\:a_{n-1} + 5\;\text{ where }\,a_1 \,=\,7

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