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

$\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} $

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Given: $t_n=n.\large\frac{n^2+5}{4}$
By putting $n=1,2,3...$ we get the first 5 terms as
answered Feb 17, 2014 by rvidyagovindarajan_1

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