Question

What is the recursive formula for the arithmetic sequence -16,-7,2,11

Answer 1

1, 2, 3, 4

-16, -7, 2, 11

As we can see each number is being increased by 9.

Our recursive formula is:


`a(n) = a(n -34) + 9`

Answer 2

`a_(n+1) =a_n+9`

Explanation:

Given is an arithmetic sequence as -16,-7,2,11

We find that

-16+9 =-7

-7+9 =2

2+9 =11

Thus this is an arithmetic sequence with common difference 9

Each term is got by adding 9 to the preceding term

Hence recursive formula is

`a_(n+1) =a_n+9`