Math Problem Statement
Enter the next two terms of the sequence: 34, 30, 28, 26, 30, ?, ?
Solution
The given sequence in the image is:
Let's analyze the pattern:
- From 34 to 30: Subtract 4
- From 30 to 28: Subtract 2
- From 28 to 26: Subtract 2
- From 26 to 30: Add 4
So, it seems the pattern alternates between subtracting 4, subtracting 2, subtracting 2, and then adding 4. Following this pattern:
- From 30: The next step would be subtracting 4, so the next term is .
- From 26: The next step would be subtracting 2, so the next term is .
Thus, the next two terms in the sequence are 26 and 24.
Would you like more details or have any other questions?
Here are some related questions to explore further:
- What is a common method to identify patterns in arithmetic sequences?
- How can alternating operations (addition/subtraction) be used in number sequences?
- What is the difference between arithmetic and geometric sequences?
- How can you determine whether a sequence will continue indefinitely with a predictable pattern?
- Can we create a formula for this sequence to predict any term?
Tip: Always check for repeating patterns, such as alternating operations or consistent steps, when identifying sequences.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Pattern Recognition
Formulas
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Theorems
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Suitable Grade Level
Grades 5-7