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

• Sequence 1: 25, 28, 29
• Sequence 2: 14, 16, 22
• Sequence 3: 15, 19, 25

Step-by-Step Analysis:

1. Sequence 1:

   • The difference between 28 and 25 is $28 - 25 = 3$.
   • The difference between 29 and 28 is $29 - 28 = 1$.

2. Sequence 2:

   • The difference between 16 and 14 is $16 - 14 = 2$.
   • The difference between 22 and 16 is $22 - 16 = 6$.

3. Sequence 3:

   • The difference between 19 and 15 is $19 - 15 = 4$.
   • The difference between 25 and 19 is $25 - 19 = 6$.

Observations:

• The first differences between consecutive terms in each sequence are $3$, $2$, and $4$.
• The second differences between consecutive terms in each sequence are $1$, $6$, and $6$.

Predicting the Next Sequence:

1. First number:

   • Sequence 1: 25 → Sequence 2: 14 → Sequence 3: 15
   • There's a general decrease, then a slight increase, so the next number could be around 18 or 20 (taking a possible increasing trend into account).

2. Second number:

   • Sequence 1: 28 → Sequence 2: 16 → Sequence 3: 19
   • The differences are 12 and 3, so the next number could be slightly higher than 19. A reasonable guess is 22.

3. Third number:

   • Sequence 1: 29 → Sequence 2: 22 → Sequence 3: 25
   • The differences are $7$ and $3$, so the next number could be 28 (assuming a consistent increase).

Final Prediction:

The next three numbers in the sequence could be 18, 22, 28.

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Do you want details or have any questions?

Here are five related questions you might find interesting:

1. How can sequences be identified in real-world data?
2. What techniques can be used to solve non-linear sequences?
3. How do different types of sequences relate to each other?
4. What are some famous sequences in mathematics?
5. How does understanding sequences help in predicting patterns?

Tip: When dealing with sequences, it’s useful to calculate both the first and second differences between terms to see if any higher-order patterns emerge.