The wrong term in following series is

A, D, I, P, X, J, W, L

Let's analyze the series: A, D, I, P, X, J, W, L.

1. **Convert each letter to its position in the alphabet**:
   - A = 1
   - D = 4
   - I = 9
   - P = 16
   - X = 24
   - J = 10
   - W = 23
   - L = 12

2. **Observe any patterns**:
   - The first five terms: \(1, 4, 9, 16, 24\)
     - These numbers are close to the squares of integers: \(1^2 = 1\), \(2^2 = 4\), \(3^2 = 9\), \(4^2 = 16\), but \(5^2 = 25\), not 24.
     - The sequence seems to follow the pattern \(n^2\), except for 24, which breaks the pattern.
   - The next three terms: \(10, 23, 12\) do not follow any obvious mathematical pattern similar to the first five.

3. **Identify the wrong term**:
   - The term "X" corresponds to 24, which does not fit the pattern of squares of integers (1, 4, 9, 16, 25, ...).

Therefore, **the wrong term in the series is "X"**. It should likely be "Y" (which is 25 in the alphabet) to follow the pattern of perfect squares.

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

1. How would the series continue if it followed the pattern of squares?
2. What is the significance of perfect squares in mathematical sequences?
3. Can you find another type of mathematical series in alphabetical terms?
4. How does the position of letters relate to their numerical equivalents in sequences?
5. What would the next incorrect term be if the series continued?

**Tip:** When dealing with letter sequences, converting letters to their numerical positions often reveals hidden patterns.

Explore how to identify the wrong term in a sequence of letters converted to their alphabetical positions. This problem involves analyzing number patterns and identifying deviations from expected sequences. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation