Question

Hello, could you help me with this question? I do not understand it(11.5 #15)could you help me with #15?

Answer 1

Given the expression:

$a_{n-2}=3n+2$

to find the formula for a_n, we can substitute n+2 on the original expression to get the following:

$\begin{gathered} a_{n+2-2}=3(n+2)+2 \\ \Rightarrow a_n=3n+6+2=3n+8 \\ a_n=3n+8 \end{gathered}$

therefore, a_n = 3n+8