What is the common difference in the recursively defined arithmetic sequence a1=4

Question

, an=an−1−5
.(1 point)
The common difference is ___

Answer 1

In the given recursively defined arithmetic sequence, \( a_1 = 4 \) and \( a_n = a_{n-1} - 5 \), the common difference can be identified from the recursive formula.

The formula \( a_n = a_{n-1} - 5 \) indicates that each term is obtained by subtracting 5 from the previous term. Therefore, the common difference \( d \) is:

\[ d = -5 \]

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