Math Problem Statement
What letter comes in the cell containing the question mark? (fill in the blank question) H D A N J ? V N M
Solution
To determine the missing letter in the sequence, let's examine the pattern formed by the given letters in the 3x3 grid:
H D A
N J ?
V N M
We'll analyze the pattern by rows, columns, and diagonals to see if there is a discernible logic to the arrangement of letters.
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First Column: H, N, V
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Second Column: D, J, N
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Third Column: A, ?, M
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First Row: H, D, A
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Second Row: N, J, ?
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Third Row: V, N, M
Examining Columns
First Column:
- H, N, V
- Alphabetically, they are: H (8), N (14), V (22)
- The differences: N - H = 6, V - N = 8
- This doesn't reveal a simple pattern.
Second Column:
- D, J, N
- Alphabetically, they are: D (4), J (10), N (14)
- The differences: J - D = 6, N - J = 4
- This also doesn't reveal a simple pattern.
Third Column:
- A, ?, M
- Alphabetically, they are: A (1), ?, M (13)
- The differences aren't clear without the middle letter.
Examining Rows
First Row:
- H, D, A
- Alphabetically, they are: H (8), D (4), A (1)
- The differences: D - H = -4, A - D = -3
Second Row:
- N, J, ?
- Alphabetically, they are: N (14), J (10), ?
- The differences: J - N = -4
- Continuing the pattern of differences: ? should be 10 - 4 = 6, which corresponds to the letter F.
Third Row:
- V, N, M
- Alphabetically, they are: V (22), N (14), M (13)
- The differences: N - V = -8, M - N = -1
Conclusion
The most consistent pattern is in the second row, where the difference between the letters appears to be -4. Thus, following this pattern, the missing letter should be F (10 - 4 = 6).
So, the missing letter is F.
Would you like more details or have any questions? Here are some related questions you might find interesting:
- What is the next letter in the sequence: A, D, G, J, ...?
- How to find the missing number in a sequence of numbers?
- What is the pattern in the following letter sequence: B, E, H, K, ...?
- Can you identify the rule in the sequence: 2, 6, 12, 20, ...?
- What is the relationship between the letters in the following pairs: (A, C), (B, D), (C, E), ...?
Tip: When solving pattern problems, try to identify consistent differences or relationships between the elements in the sequence.
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Math Problem Analysis
Mathematical Concepts
Patterns
Sequence
Alphabetical Order
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8