12. Sequences, Series, and Induction

The first 4 terms of a sequence are $\{\sqrt{3},2\sqrt{3},3\sqrt{3},4\sqrt{3},\dots \}$. Continuing this pattern, find the $7^{\(\th\)}$ term.

Determine the first 3 terms of the sequence given by the general formula

$a_n=\frac{1}{n!+1}$

Write the first 6 terms of the sequence given by the recursive formula

$a_n=a_{n-2}+a_{n-1}$; $a_1=1$;$a_2=1$.