Math Problem Statement
Solution
The sequence provided in the image is:
15, 28, 54, 93, ?, 210
We need to determine the missing number in this series.
Step-by-step analysis:
Let's look at the differences between consecutive terms:
It seems like the difference between consecutive terms is increasing by 13. Therefore, the next difference should be .
Adding this to the last known term:
Thus, the missing number is 145.
Final sequence:
15, 28, 54, 93, 145, 210
The correct option is 145.
Would you like more details on this or have any questions?
Here are 5 related questions:
- What kind of sequences have constant differences like this one?
- How do you identify a pattern in a sequence quickly?
- Could a sequence involve alternating operations instead of differences?
- What happens if the differences aren't consistent in arithmetic terms?
- How do geometric sequences differ from arithmetic sequences?
Tip: When working with sequences, always check the differences between terms first; if they don't match a pattern, consider squares, cubes, or other operations!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Pattern Recognition
Formulas
Difference between consecutive terms
Theorems
Arithmetic Progression
Suitable Grade Level
Grades 6-8
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