Question

What is the recursive rule for the sequence?

Answer 1

2nd option

Explanation:

the recursive rule is

`a_(n)` =
`a_(n-1)` + d ( d is the common difference )

use the explicit rule to find a₁ and d

a₁ = 48 - 11(1) = 48 - 11 = 37

a₂ = 48 - 11(2) = 48 - 22 = 26

then

d = a₂ - a₁ = 26 - 37 = - 11

recursive rule is then

`a_(n)` =
`a_(n-1)` - 11

a₁ = 37