Question

What is the recrusive formula for the sequence 9,16,23,30

Answer 1

`a_(n)` =
`a_(n-1)` + 7

Explanation:

the recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term.

d = 16 - 9 = 23 - 16 = 30 - 23 = 7

then

`a_(n)` =
`a_(n-1)` + 7 : a₁ = 9