Find the first 5 terms of the sequence whose general term is $t_n=n.\large\frac{n^2+5}{4}$

Question

$\begin{array}{1 1} \large\frac{3}{4}, \frac{9}{4}, \frac{21}{4}, \frac{21}{2}, \frac{75}{2} \\ \large\frac{3}{4}, \frac{9}{4}, \frac{21}{4}, \frac{21}{2}, \frac{21}{1} \\\large\frac{3}{2}, \frac{9}{2}, \frac{21}{2}, \frac{21}{4}, \frac{75}{2} \\\large\frac{3}{2}, \frac{9}{2}, \frac{21}{2}, \frac{21}{1}, \frac{75}{2}\end{array}$