Question

Qrite the recursive for -20,-9,2,13,24

Answer 1

Answer:
`a_(n) = a_(n-1) +11, a_(1) = -20`

Explanation:

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

Answer 2

`a_(n)` =
`a_(n-1)` + 3 : a₁ = - 20

Explanation:

A recursive rule allows a term a sequence to be found from the term preceding it

the rule typically has
`a_(n)` ( the nth term ) and
`a_(n-1)` ( the preceding term )

given the sequence

- 20 , - 9 , 2 , 13 , 24

this sequence has a common difference between consecutive terms , that is

- 9 - (- 20) = - 9 + 20 = 11

2 - (- 9) = 2 + 9 = 11

13 - 2 = 11

24 - 13 = 11

This indicates the sequence is arithmetic with common difference d = 11

the recursive rule for an arithmetic sequence is

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

since d = 3 , then the recursive rule is

`a_(n)` =
`a_(n-1)` + 3 : with a₁ = - 20