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

Question

The recursive function is ___-_____ with A1 =

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 identify the recursive function for the sequence 41, 29, 17, 5..., let's observe the differences between consecutive terms:

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

It appears that each term is obtained by subtracting 12 from the previous term. Therefore, we can summarize this with a recursive formula.

The recursive formula is:

$$A_n=A_{n-1}-12$$

Given that the first term (A1) is 41, we can summarize the recursive function as:

• Recursive Function: $A_n=A_{n-1}-12$ with $A_1=41$

This matches the option you provided as:

$$A_n=A_{n-1}-12,41$$