Math Problem Statement
Show Examples Find the common difference of the arithmetic sequence .−19,−11,−3,...
Solution
To find the common difference in an arithmetic sequence, we subtract the first term from the second term. Given the sequence:
we can find the common difference, , by subtracting from :
So, the common difference is 8.
Would you like further explanation or have any questions about this process?
Here are 5 related questions to help reinforce the concept:
- How would you find the 10th term in this sequence?
- How can we determine the formula for the -th term of an arithmetic sequence?
- What is an example of an arithmetic sequence with a common difference of -5?
- How can we tell if a sequence is arithmetic based on its terms?
- What happens to the terms of an arithmetic sequence if the common difference is 0?
Tip: In an arithmetic sequence, the difference between consecutive terms is always constant, which is why we call it the "common difference."
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Common Difference
Sequences
Formulas
d = a2 - a1, where d is the common difference and a1, a2 are consecutive terms
Theorems
Definition of an Arithmetic Sequence
Suitable Grade Level
Grades 6-8
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