It looks like the image you uploaded contains some text or mathematical equations. Let me rotate and extract the relevant details so I can assist you with it. PIL import Image

Load and rotate the image for better readability

img_path = '/mnt/data/1740143549238wuib4zoj.jpg' img = Image.open(img_path)

Rotate the image by 90 degrees counter-clockwise

rotated_img = img.rotate(90, expand=True)

Save the rotated image to verify

rotated_img.show()I have rotated the image to make the text clearer. Let me now extract and interpret the mathematical content.I can see that the text in the image involves some mathematical notations with variables. Here's a clearer extraction of the information:

1. There are sequences or series, likely arithmetic or geometric, given the use of variables $a$ and $d$, which usually represent the first term and the common difference in arithmetic sequences.
2. The image appears to describe values for $a$ and $d$:
   • $a_1 = -7$
   • $d = 3$

This seems to be part of a problem involving sequences.

Would you like me to solve or explain this further? Do you have a specific question about these equations or terms?

Here are some related questions for further exploration:

1. How to find the nth term of an arithmetic sequence?
2. What is the sum of an arithmetic series?
3. How to determine if a sequence is arithmetic or geometric?
4. How does the common difference $d$ affect the behavior of an arithmetic sequence?
5. What are the general formulas for arithmetic and geometric sequences?

Tip: The nth term of an arithmetic sequence can be found using the formula: $a_n = a_1 + (n - 1) \cdot d$