Question

Write a recursive rule for the sequence –17.-11, -5, 1, ...show complete working format please ​

Answer 1

Answer:

$a_{n}$ = $a_{n-1}$ + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

$a_{n}$ = $a_{n-1}$ + 6 with a₁ = - 17