Question

Consider the sequence 41, 29, 17, 5...

The recursive function is ________ with A1 =
____.

(1 point)
Responses

An= An−1+12, 53
An= An−1+12, 53

An= An−1−12, 41
An= An−1−12, 41

An= 12An−1, −12

Answer 1

To find the recursive function for the sequence 41, 29, 17, 5..., we observe the differences between consecutive terms:

- 41 to 29: 41 - 29 = 12
- 29 to 17: 29 - 17 = 12
- 17 to 5: 17 - 5 = 12

The pattern shows that each term is obtained by subtracting 12 from the previous term.

Therefore, the recursive function can be expressed as:

\[ A_n = A_{n-1} - 12 \]

The first term \( A_1 \) is 41.

So the answer is:

An = An−1 − 12, 41