Question

4,9, 14, 19.... 38th Term?

Answer 1

189

1) Let's find the pattern behind this Sequence

So we can state that this is an Arithmetic Sequence, whose common difference is 5, the first term is 4

2) Let's plug those pieces of information into the Explicit Formula for Arithmetic Sequences:

$\begin{gathered} a_n=a_1+(n-1)d \\ a_{38}=4+(38-1)5 \\ a_{38}=4+185 \\ a_{38}=189 \end{gathered}$

3) Therefore the 38th term is 189