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.