Math Problem Statement
What type of arithmetic sequence is -17, -13, -9, -5
Solution
The given sequence is .
To determine the type of arithmetic sequence, we first need to find the common difference between consecutive terms.
Calculating the common difference:
The common difference is , which is positive.
An arithmetic sequence with a positive common difference is called an increasing arithmetic sequence.
To summarize, the given sequence is an increasing arithmetic sequence with a common difference of .
If you have any further questions or need more details, please let me know! Here are 8 related questions to expand your understanding:
- What is the 10th term of this sequence?
- How do you find the sum of the first terms in an arithmetic sequence?
- What is the general formula for the -th term of this sequence?
- How do arithmetic sequences differ from geometric sequences?
- What is the 20th term of this sequence?
- How do you determine if a sequence is arithmetic?
- What is the sum of the first 5 terms of this sequence?
- How can we graph an arithmetic sequence?
Tip: Understanding the common difference in an arithmetic sequence helps in predicting the behavior of the sequence and determining any term within it using the general formula.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
General formula for the nth term of an arithmetic sequence
Theorems
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Suitable Grade Level
Grades 7-9