Math Problem Statement
Common difference in "5, 18, 31, 44, ..."
Solution
The common difference in the sequence is .
To find the common difference, subtract any term from the term that follows it. For example:
Since the difference is consistently between each pair of consecutive terms, the common difference is .
Would you like to explore more about arithmetic sequences or have any other questions?
Here are some related questions you might consider:
- How can you find the first term of an arithmetic sequence if the common difference and a later term are given?
- What is the significance of the common difference in an arithmetic sequence?
- Can the common difference in an arithmetic sequence be a fraction?
- How does the common difference influence the rate of growth or decline in the sequence?
- How can you find the th term of an arithmetic sequence if you know the common difference?
- What happens to an arithmetic sequence if the common difference is zero?
- How can you find the sum of the first terms of an arithmetic sequence using the common difference?
- Can you determine the common difference if only two non-consecutive terms of the sequence are known?
Tip: Always remember that the common difference in an arithmetic sequence is what defines its linear pattern.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9