Question

a1=5 an=3an-l+2 what is the third item?

Answer 1

\[
\text{The sequence is: }a_1, ~~a_2,~~ a_3,~~ ..., ~~a_n \\
a_1 = 5 \\
a_n = a_{n-1} + 2 \\
\text{To find second term, put n = 2:} \\
a_2 = a_1 + 2 = 5 + 2 = 7 \\
\text{To find third term, put n = 3:} \\
a_3 = a_2 + 2 = 7 + 2 = 9 \\
\text{The third term is: }9.
\]