Question

What is the explicit formula for this sequence? -7,-3,1,5,…

Answer 1

`a_n=4n-11`

Explanation:

The common difference is
`d=4` with the first term being
`a_1=-7`, so we can generate an explicit formula for this arithmetic sequence:

`a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11`