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

1 answer

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).