What is the common difference in the recursively defined arithmetic sequence

Question

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 \( d \) in an arithmetic sequence can be found from the recursive formula. Here, each term is defined as the previous term minus 5.

This means that:

\[ d = a_n - a_{n-1} = -5 \]

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