Sequencs...

**MATNTRNG** · April 29th 2010, 08:14 AM

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

**Drexel28** · April 29th 2010, 09:14 AM

Originally Posted by MATNTRNG

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

$a_n=\begin{cases}5n+2 & \mbox{if}\quad n=1,2,3,4 \\ e^{\pi^n} & \mbox{if}\quad n\geqslant 5\end{cases}$

**Soroban** · April 29th 2010, 09:15 AM

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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