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

Given sequence: 14, 18, 82, 118, 630, ?

### Analyzing the differences:
- Difference between 18 and 14: \( 18 - 14 = 4 \)
- Difference between 82 and 18: \( 82 - 18 = 64 \)
- Difference between 118 and 82: \( 118 - 82 = 36 \)
- Difference between 630 and 118: \( 630 - 118 = 512 \)

### Differences: 4, 64, 36, 512

The differences don't follow a simple arithmetic pattern, so let's try another approach.

### Examining a potential relationship:
Let's try to understand how each term relates to the previous one:

1. \( 14 \times 2 + 4 = 28 + 4 = 18 \)
2. \( 18 \times 4 + 10 = 72 + 10 = 82 \)
3. \( 82 \times 1.5 + -5 = 123 - 5 = 118 \)
4. \( 118 \times 5 + 40 = 590 + 40 = 630 \)

Looking at these operations, the pattern involves multiplication by increasing factors and adding different numbers.

### Next step:
To find the next term:
5. \( 630 \times 2 + 60 = 1260 + 60 = 1320 \)

Thus, the next term in the sequence is **1320**.

Would you like further details or have any questions?

### Related Questions:
1. What is the general formula for finding the nth term of this sequence?
2. How do multiplication patterns in sequences generally work?
3. Can such sequences have applications in real-life problems?
4. What are other methods to identify patterns in number sequences?
5. How does this sequence compare to Fibonacci or arithmetic sequences?

### Tip:
When analyzing sequences, always check for both additive and multiplicative patterns.

Explore the pattern in the sequence 14, 18, 82, 118, 630, ? and find the next term. This sequence involves complex multiplication and addition patterns, challenging for advanced high school or college students.

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