https://file.aiquickdraw.com/mathbot/file/1724917886696fakt3myt.jpg

To solve this sequence problem, let's analyze the pattern between the numbers:

The sequence given is: **55, 30, 14, 5, ?**

Let's find the differences between consecutive numbers:

1. \( 55 - 30 = 25 \)
2. \( 30 - 14 = 16 \)
3. \( 14 - 5 = 9 \)

The differences between the numbers are decreasing as follows:
- \( 25 \) (difference between 55 and 30)
- \( 16 \) (difference between 30 and 14)
- \( 9 \) (difference between 14 and 5)

Notice that the differences themselves are decreasing by 9, then by 7:
- \( 25 - 16 = 9 \)
- \( 16 - 9 = 7 \)

It appears the pattern is decreasing by decreasing amounts. 

Following this logic:
- The next difference should decrease by \( 7 - 2 = 5 \).

If we subtract \( 9 - 5 = 4 \), then the difference from the next number to 5 should be 4.

Thus, the next number should be:
\( 5 - 4 = 1 \)

So, the missing number in the sequence is **1**.

This corresponds to answer **a. 1**.

**Would you like more details on this problem or have any other questions?**

### Related Questions:
1. How can you determine patterns in arithmetic sequences?
2. What are some common types of number patterns or sequences in math problems?
3. How would you approach solving sequences with a non-linear pattern?
4. What is the importance of identifying the pattern in a number sequence?
5. Can sequences also have increasing patterns, and how would you recognize them?

**Tip:** When solving sequence problems, always look for consistent patterns, either in the numbers themselves or in the differences between them.

Learn how to solve the sequence problem 55, 30, 14, 5, ? by identifying the pattern in the differences between consecutive numbers. This problem involves arithmetic sequences and pattern recognition, suitable for students in Grades 7-9.

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