Question

What is the common difference in the recursively defined arithmetic sequence a1=4
, an=an−1−5
.(1 point)
The common difference is

Answer 1

In the given recursively defined arithmetic sequence, you have:

- \( a_1 = 4 \)
- \( a_n = a_{n-1} - 5 \)

The common difference \( d \) can be determined from the recursive formula:

- \( a_n = a_{n-1} - 5 \)

This indicates that each term is obtained by subtracting 5 from the previous term. Therefore, the common difference \( d \) is:

\( d = -5 \)

So, the common difference is \(-5\).