Math Problem Statement
-11,-17,-23 common difference
Solution
To find the common difference of an arithmetic sequence, subtract any term from the term that follows it.
In your sequence, the terms are:
.
Let's calculate the common difference:
Next, check the difference between the second and third terms:
Thus, the common difference is .
Would you like to explore more details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you find the -th term of an arithmetic sequence?
- What is the sum of the first terms of an arithmetic sequence?
- How do you determine if a sequence is arithmetic?
- How does changing the common difference affect the sequence?
- How can you graph an arithmetic sequence?
Tip: The formula for the -th term of an arithmetic sequence is .
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Algebra
Formulas
d = a_n - a_(n-1)
a_n = a_1 + (n-1) * d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 6-8
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