1. Sequencs...

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

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

3. Hello, MATNTRNG!

The sequence 7, 12, 17, 22... can be generalized with the expression $5n+2$.
What is another expression that generalizes this sequence?
. . $a_n \:=\:a_{n-1} + 5\;\text{ where }\,a_1 \,=\,7$