The image provides a problem where you are asked to write a recursive formula for an arithmetic sequence. The problem states:

• The first term is $a_1 = -56$.
• Each term is equal to the previous term plus a common difference $d$.

Recursive Formula

The general recursive formula for an arithmetic sequence can be written as: $a_n = a_{n-1} + d$ Where:

• $a_1 = -56$ (given).
• $d$ is the common difference.

However, the value of the common difference $d$ is missing from the image. You would need this value to complete the recursive formula.

To complete the formula:

1. Find the common difference $d$.
2. Use the formula $a_n = a_{n-1} + d$ with the correct $d$ value.

Let me know if you'd like further assistance finding the common difference or with other details. Do you have more information on the problem?

5 Follow-up Questions:

1. Do you have the common difference $d$ for the sequence?
2. Are you looking for the explicit form of the sequence as well?
3. Would you like a step-by-step breakdown of how to derive the recursive formula?
4. Does the sequence continue beyond the given first term?
5. Is this sequence related to a real-world situation (e.g., depth in feet)?

Tip:

In an arithmetic sequence, the difference $d$ between consecutive terms remains constant throughout the sequence.