Math Problem Statement
Find the common difference of the arithmetic sequence minus, 19, comma, minus, 14, comma, minus, 9, comma, point, point, .−19,−14,−9,...
Solution
To find the common difference of an arithmetic sequence, we subtract the first term from the second term or any successive term from its previous one.
The given arithmetic sequence is:
Let's subtract the first term from the second term:
Thus, the common difference is .
Would you like a deeper explanation or any additional details?
Here are 5 questions related to arithmetic sequences to explore further:
- How do you find the -th term of an arithmetic sequence?
- Can you calculate the sum of the first terms of this sequence?
- How would the sequence change if the common difference were negative?
- What happens if the first term of the sequence changes?
- How can arithmetic sequences model real-world situations?
Tip: In an arithmetic sequence, the common difference is always constant between consecutive terms!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Common Difference
Formulas
d = a_n - a_(n-1)
Theorems
Arithmetic Sequence Property: The difference between consecutive terms is constant.
Suitable Grade Level
Grades 6-8
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