Math Problem Statement
Find the common difference of the arithmetic sequence 19, comma, 27, comma, 35, comma, point, point, .19,27,35,...
Solution
The common difference in an arithmetic sequence is found by subtracting any term from the term that follows it.
In the given sequence:
Let's subtract the first term from the second term:
Now, let's verify by subtracting the second term from the third term:
Since the difference between consecutive terms is the same, the common difference is .
Would you like further details, or do you have any questions?
Here are 5 related questions:
- What is the next term in this arithmetic sequence?
- How can you find the -th term of this arithmetic sequence?
- What is the sum of the first 10 terms of this arithmetic sequence?
- How does an arithmetic sequence differ from a geometric sequence?
- What are some real-world examples of arithmetic sequences?
Tip: In an arithmetic sequence, you can always check the common difference by subtracting any term from the next!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Algebra
Formulas
Common difference formula: d = a(n+1) - a(n)
Theorems
Arithmetic sequence formula
Suitable Grade Level
Grades 6-8
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