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The image shows a question asking to identify the wrong term in the series of numbers:

**Series: 18, 19, 38, 114, 460, 2301, 13806**

Options:
1. 19
2. 38
3. 114
4. 2301

Let's analyze the pattern.

- The first number is 18.
- The second number is 19, an increment of 1.
- The third number is 38, which is 19 × 2.
- The fourth number is 114, which is 38 × 3.
- The fifth number is 460, which is 114 × 4.
- The sixth number should follow the multiplication pattern and be 460 × 5 = 2300. However, in the series, it's 2301, which is incorrect by 1.

Thus, **2301** is the incorrect number.

The correct answer is **2301**. Would you like more details or any further clarification?

Here are five related questions:
1. Can you find the correct term that replaces 2301 in the sequence?
2. How would you generalize the rule for identifying wrong terms in arithmetic sequences?
3. What patterns could help in spotting wrong terms in geometric progressions?
4. How can you verify the correctness of large numbers in sequences without calculating every step?
5. Are there other types of patterns (e.g., quadratic or exponential) where identifying wrong terms is more complex?

**Tip:** Always check for consistent arithmetic or geometric patterns in a sequence when spotting errors.

Find the wrong term in the given series of numbers: 18, 19, 38, 114, 460, 2301, 13806. Options: 1) 19, 2) 38, 3) 114, 4) 2301.

This problem involves identifying the incorrect term in a numerical sequence following a multiplication pattern. The sequence is 18, 19, 38, 114, 460, 2301, 13806. The solution shows that 2301 is incorrect based on the consistent multiplication pattern used for previous terms. Suitable for Grades 10-12.

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