What's the next 3 missing numbers in the sequences 15,22,28  16,17,30 20,24,28  _,_,_?

To determine the next three missing numbers in the sequence, let's analyze the pattern of the sequences provided:

- **Sequence 1:** 15, 22, 28
- **Sequence 2:** 16, 17, 30
- **Sequence 3:** 20, 24, 28

Now, observe the changes in each sequence:

1. **Sequence 1:**
   - The difference between 22 and 15 is \(22 - 15 = 7\).
   - The difference between 28 and 22 is \(28 - 22 = 6\).

2. **Sequence 2:**
   - The difference between 17 and 16 is \(17 - 16 = 1\).
   - The difference between 30 and 17 is \(30 - 17 = 13\).

3. **Sequence 3:**
   - The difference between 24 and 20 is \(24 - 20 = 4\).
   - The difference between 28 and 24 is \(28 - 24 = 4\).

### Analyzing the Pattern:
There doesn't seem to be a simple arithmetic or geometric pattern between the numbers. However, if we look at the differences between the corresponding positions:

1. The first position numbers increase by \(+1\) between the sequences (15, 16, 20).
2. The second position numbers increase by a mix of small and larger differences (22, 17, 24).
3. The third position numbers are more irregular (28, 30, 28).

### Next Sequence (4th Sequence):
Following the observed trends:

- **First number:** 15 → 16 → 20 → (possibly **21** or **25** based on the trend)
- **Second number:** 22 → 17 → 24 → (possibly **19** or **27**)
- **Third number:** 28 → 30 → 28 → (possibly **32** or **30**)

Considering these options, a reasonable guess could be **21, 19, 32**.

So, the next three numbers are likely: **21, 19, 32**.

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Do you want details or have any questions?

Here are five related questions you might find interesting:
1. How do you determine the pattern in more complex sequences?
2. What are the rules for finding missing numbers in a sequence?
3. Can sequences have non-numerical patterns?
4. How does the Fibonacci sequence differ from arithmetic sequences?
5. What are some common types of number sequences?

**Tip:** When analyzing sequences, always check for consistent differences or ratios. If there's no clear pattern, consider other possibilities like alternating sequences or combinations of different rules.

Explore the solution to finding the next three missing numbers in the sequence 15, 22, 28, 16, 17, 30, 20, 24, 28. Analyze the pattern recognition methods used and learn how to apply them to complex number sequences. Suitable for students in Grades 7-9.

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