Question $40$

$2\mathrm{.}5pts$

Select a recursive definition with initial condition$($s$)$ for the following sequence $\{$an$\}.$ For $n=1,2,3,$dots

$a_n=3n-5$

$a_1=2$ and $a_n=a_{n-1}+2n$

$a_1=2$ and $a_{n+1}=a_n+4$ for all $n1.$

$a_1=0,a_2=2,$ and $a_n=a_{n-2}$ for all $n3$

$a_n=a_{n-1}+3$ and $a_1=-2$