Question

Find the term number 30 in the arithemetric sequence Given: an= 6n +4

Answer 1

$a_{30}=184$

Explanation

in this case we have a rule that says what the value is, for example for

n=1

$\begin{gathered} a_n=6n+4 \\ a_1=6\cdot1+4 \\ a_1=6+4 \\ a_1=10 \end{gathered}$

then, to know the term number 30, we have to replace

$\begin{gathered} a_n=6n+4 \\ \text{when n=30} \\ a_{30}=6\cdot30+4 \\ a_{30}=180+4 \\ a_{30}=184 \end{gathered}$

so, the term number 30 is

$a_{30}=184$

I hope this helps you