Math Problem Statement
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:
- How can we generalize this type of sequence rule for other patterns?
- Could this sequence be classified as arithmetic? Why or why not?
- What are other types of sequences that often appear in such problems?
- How do you identify patterns when given only a few terms?
- 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
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