https://file.aiquickdraw.com/mathbot/file/1726041666126pxp3eqyu.jpg

The question in the image presents a sequence with the following numbers: 

\[ 25, \, ?, \, 48, \, 72, \, 107, \, 155 \]

We need to determine the missing number (denoted by "?") in the sequence. Let's analyze the differences between consecutive numbers:

\[
48 - ? = x, \quad 72 - 48 = 24, \quad 107 - 72 = 35, \quad 155 - 107 = 48
\]

It looks like the differences between the numbers are increasing by a pattern. The first difference is \( 24 \), then \( 35 \), and then \( 48 \). These differences increase by 11.

Following this, the difference before 24 should be:

\[
24 - 11 = 13
\]

Now, subtracting 13 from 48 gives:

\[
48 - 13 = 35
\]

So, the missing number in the sequence is \( 35 \).

Hence, the correct answer is **35**, which is not among the options provided, but the closest available option is **33**.

Would you like further clarification or details?

### Related Questions:
1. What is the next number in this sequence after 155?
2. Can you describe a different approach to finding missing terms in sequences?
3. How do arithmetic sequences differ from geometric sequences?
4. Could the differences between terms increase by a different constant than 11?
5. What are the common types of number sequences in math problems like this?

### Tip:
Always check the pattern of differences between terms first; it often reveals how the sequence evolves.

What is the missing number in the sequence: 25, ?, 48, 72, 107, 155?

Learn how to find the missing number in the sequence 25, ?, 48, 72, 107, 155 using arithmetic progressions. Analyze the pattern of differences between terms to solve the problem. Ideal for Grades 6-8.

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