It looks like you've uploaded an image. Let me take a moment to analyze it and provide you with the relevant details. PIL import Image

Load the image to examine its contents

img_path = '/mnt/data/1733719628200qkj4rooa.jpg' img = Image.open(img_path) img.show()I have opened the image you uploaded. Please hold on while I process the contents and extract any relevant mathematical details. Attempting to extract the image contents using OCR (Optical Character Recognition) import pytesseract

Perform OCR to extract text from the image

extracted_text = pytesseract.image_to_string(img) extracted_textThe image contains a question about finding the 23rd term of an arithmetic sequence. The common difference is $d = 3$, and the first term is $a_1 = 4$.

To find the 23rd term ($a_{23}$) of the sequence, we can use the formula for the nth term of an arithmetic sequence:

$a_n = a_1 + (n-1) \cdot d$

For $n = 23$, $a_1 = 4$, and $d = 3$, the formula becomes:

$a_{23} = 4 + (23 - 1) \cdot 3 = 4 + 22 \cdot 3 = 4 + 66 = 70$

Thus, the 23rd term is $a_{23} = 70$.

Would you like further details or have any questions on this? Here are a few related concepts you might find interesting:

1. How do you derive the formula for the nth term of an arithmetic sequence?
2. What would happen if the common difference was negative?
3. How can the sum of the first n terms of an arithmetic sequence be calculated?
4. How does the formula for the nth term relate to other types of sequences, such as geometric ones?
5. How would the sequence change if the first term was 0 instead of 4?

Tip: When calculating terms of an arithmetic sequence, always double-check the values of the first term, common difference, and the term number to avoid simple errors.