Math Problem Statement
Solution
The question asks, "Which of the following is an arithmetic sequence?" Let's analyze each option:
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To check if it's an arithmetic sequence, find the difference between consecutive terms:The difference is not consistent (changes from to ), so it's not an arithmetic sequence.
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Check the differences:The difference is consistent, so this is an arithmetic sequence.
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Check the ratios (this might suggest a geometric sequence):This sequence follows a geometric progression, so it's not an arithmetic sequence.
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Check the ratios:This is another geometric sequence, so it's not an arithmetic sequence.
Correct Answer:
The arithmetic sequence is .
Would you like a breakdown of arithmetic sequences or help with another topic?
- What is the formula for the -th term of an arithmetic sequence?
- How can we distinguish between arithmetic and geometric sequences?
- What are some real-life applications of arithmetic sequences?
- How do you find the sum of the first terms of an arithmetic sequence?
- Can a sequence be both arithmetic and geometric?
Tip: Always check the consistency of differences between terms to identify an arithmetic sequence.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Geometric Sequences
Formulas
Arithmetic sequence formula: a_n = a_1 + (n-1)d
Theorems
Consistent difference for arithmetic sequences
Suitable Grade Level
Grades 6-8