Answer
$a_{13}=\frac{37}{130}$
Work Step by Step
$a_n=\frac{4n^2-n+3}{n(n-1)(n+2)}$
$a_{13}=\frac{4(13)^2-13+3}{13(13-1)(13+2)}=\frac{4(169)-10}{13(12)(15)}=\frac{676-10}{2340}=\frac{666\div18}{2340\div18}=\frac{37}{130}$
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