Question

How do you find a formula for the nth term of each arithmetic sequence: 24,32,40,48,.......?

Answer 1

`color(blue)(a_n=16 +8n`( for `n=1,2,3,4...`)

Explanation:

The arithmetic sequence is
`24,32,40,48`

The first term `color(blue)(a_1 = 24`
The common difference of the sequence is
`color(blue)(d=32-24=8`

The `nth` term of an arithmetic sequence is given by formula:
`color(blue)(a_n=a+(n-1)d`

So for the above sequence
`a_n=color(blue)(24) +(n-1)color(blue)(8`
`a_n=24 +8n -8`
`a_n=16 +8n`