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.