Math Problem Statement
Solution
The sequence in the image provided is:
It appears that we are tasked with finding the next number in the pattern.
Step-by-step pattern analysis:
Let's break down the sequence into smaller steps:
- Difference between consecutive terms:
- From to is an increase of .
- From to is an increase of .
- From to is a decrease of .
- From to is a decrease of .
- From to is a change of (no change).
- From to is a decrease of .
- From to is an increase of .
- From to is an increase of .
- From to is a decrease of .
So, the differences form this pattern: .
- Next step prediction:
- The difference between and was .
- The next step should follow a similar repeating pattern. If we continue from the observed differences, the next difference should be an increase of (following the earlier increase pattern).
Thus, the next term after should be .
Conclusion:
The next number in the sequence is .
The correct answer is B. 2.
Would you like more details or have any questions? Here are five related questions to consider:
- How can you identify the general form of a sequence?
- What are the common types of sequences found in mathematics?
- Can this sequence be expressed as a combination of arithmetic and geometric progressions?
- How does pattern recognition help in solving real-world problems?
- What other methods can be used to predict unknown terms in a sequence?
Tip: Always look for repeating patterns in differences between consecutive terms when working with non-standard sequences.
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Math Problem Analysis
Mathematical Concepts
Sequence
Pattern Recognition
Arithmetic Sequence
Formulas
Difference between consecutive terms
Theorems
Pattern Recognition Theorem
Suitable Grade Level
Grades 8-10
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