Solution
Step 1
Substitute for n = 101 in the equation
[tex]\begin{gathered} a_n=12\text{ + (n-1).-2} \\ a_n=12\text{ +(101-1).-2} \end{gathered}[/tex]Step 2
Simplify the problem
[tex]\begin{gathered} a_n=12\text{ +100.-2} \\ a_n=12\text{ + }(-200) \\ a_n=12-200 \\ a_n=-188 \end{gathered}[/tex]