Math Problem Statement

What is the next correct letter in the following sequence: A, B, D, G, ... ?

Solution

The sequence provided is: A, B, D, G, ... and we are tasked with finding the next letter. Let's analyze the pattern in the sequence:

  • A (Position 1 in the alphabet)
  • B (Position 2 in the alphabet)
  • D (Position 4 in the alphabet)
  • G (Position 7 in the alphabet)

The difference between the positions increases by one as follows:

  • B - A = 1
  • D - B = 2
  • G - D = 3

Thus, the next difference should be 4:

  • Next letter's position = 7 (G) + 4 = 11, which corresponds to the letter K.

The correct answer is K.

Would you like more details or have any further questions?

Here are some related questions to think about:

  1. How can we generalize this type of sequence rule for other patterns?
  2. Could this sequence be classified as arithmetic? Why or why not?
  3. What are other types of sequences that often appear in such problems?
  4. How do you identify patterns when given only a few terms?
  5. How does this type of problem relate to reasoning tests in general?

Tip: When identifying patterns in letter sequences, consider both the position in the alphabet and the differences between them.

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Math Problem Analysis

Mathematical Concepts

Algebra
Sequences
Patterns

Formulas

Position difference sequence

Theorems

Arithmetic progression

Suitable Grade Level

Grades 6-8