Question

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

Answer 1

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,

`a_n=a+(n-1)d`

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,

`a_n=4+4n`