The question asks to find the wrong term in the following series of numbers:

$18, 19, 38, 114, 460, 2301, 13806$

Let's examine the pattern or relationship between the numbers to find the incorrect one.

1. From 18 to 19: $19 = 18 + 1$

2. From 19 to 38: $38 = 19 \times 2$

3. From 38 to 114: $114 = 38 \times 3$

4. From 114 to 460: $460 = 114 \times 4$

5. From 460 to 2301: $2301 \text{ does not fit this pattern, as } 460 \times 5 = 2300 \text{ (off by 1)}.$

6. From 2301 to 13806: $13806 = 2301 \times 6$

It seems like all the terms follow a multiplying pattern except for 2301, which should have been 2300.

Thus, 2301 is the wrong term.

Do you want further details or have any questions? Here are 5 related questions to expand on this topic:

1. How can we identify other types of patterns in number sequences?
2. What are common strategies for solving series problems like this one?
3. Can a sequence involve more than one arithmetic or geometric pattern?
4. What is the difference between arithmetic and geometric progressions in a series?
5. How could a fractional or logarithmic pattern alter the sequence?

Tip: When solving sequences, check both addition and multiplication patterns for better accuracy in detecting irregular terms.