Question

41,29,17,5…. The recursive function is ______A1 -________

Answer 1

To find the recursive function for the sequence 41, 29, 17, 5, we first need to determine the pattern of the sequence.

We can find the difference between consecutive terms:

- \(29 - 41 = -12\)
- \(17 - 29 = -12\)
- \(5 - 17 = -12\)

The difference is consistently \(-12\).

This indicates that the sequence is linear and can be described with a recursive function:

Let \(A_n\) represent the nth term of the sequence.

The recursive function can be defined as:
- \(A_1 = 41\)
- \(A_n = A_{n-1} - 12\) for \(n > 1\)

So, the recursive function is:

**A1 = 41, An = An-1 - 12** (for n > 1).