Write a rule for the n-th term in the arithmetic sequenced=4a8=36

Question

asked Jan 22, 2023 115k views

1 Answer

Thane Plummer · Answer 1 · 2023-01-26T19:24:22+0000

Given:

$\begin{gathered} d=4 \\ a_8=36 \end{gathered}$

To find:

The nth term rule.

Step-by-step explanation:

Using the nth term formula,

Substituting the given values we get,

$\begin{gathered} a_8=a+(8-1)(4) \\ 36=a+28 \\ a=8 \end{gathered}$

So, the nth term formula becomes,

$\begin{gathered} a_n=a+(n-1)d \\ =8+(n-1)(4) \\ =8+4n-4 \\ a_n=4+4n \end{gathered}$

Final answer:

The nth term formula is,