Question

How do you find the explicit formula for the following sequence 38, 33, 28, 23,...?

Answer 1

`(x_n)=43-5n`

Explanation:

This is an arithmetic sequence with first term `a=38` and constant difference `d=5`.

Hence the general term is given by
`(x_n)=a+(n-1)d`
`=38+(n-1)(-5)`
`=38-5n+5`
`=43-5n`