Math Problem Statement
3, 9, 11, 17
Solution
It seems like you've listed a series of numbers: 3, 9, 11, 17. To understand the pattern, we can try analyzing the differences between consecutive terms:
- 9 - 3 = 6
- 11 - 9 = 2
- 17 - 11 = 6
We can see that the differences alternate between 6 and 2. If this pattern continues, we might expect the next term in the sequence to be:
- 17 + 2 = 19
So the next number in the sequence would be 19.
Would you like a more detailed explanation or further examples?
Here are some related questions for exploration:
- What is the general term for a sequence with alternating differences?
- How would this sequence change if the differences were consistent?
- What is the sum of the first 10 terms in a sequence like this?
- How can we calculate the nth term for sequences with alternating differences?
- How do you find the sum of an arithmetic sequence?
Tip: When analyzing sequences, always check the differences between consecutive terms; it’s a quick way to identify a pattern!
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Math Problem Analysis
Mathematical Concepts
Sequences
Patterns
Arithmetic Sequences
Formulas
Difference between consecutive terms
Next term in sequence (using differences)
Theorems
Identifying patterns in sequences
Suitable Grade Level
Grades 5-7
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