Question

Can a recursive formula have a negative common difference ??

Answer 1

Yes

Explanation:

If you refer to common difference, then we are considering an Arithmetic Progression.

If the common difference of the arithmetic progression is negative, then the corresponding recursive formula will also have a negative common difference.

For instance, the common difference for

10,7,4,1,.... is -3.

The recursive formula is

`a_n=a_(n-1)-3`