The following is a set of one$-$dimensional points: $\{1,2,3,5,8,13,21,32,44\}.($a$)$ Solve the following recurrence:

$T(2)=1$

$T(n)=T(n-2)+cn$ where $cis$ a constant

Give the exact answer $($not in Big$-$O$).$ You can assume that $n$ is even, i$.$e$.,n=2k$ for some

integer $k.$