Math Problem Statement
Determine whether the sequence is arithmetic, geometric or neither: 0.3, -3, 30, -300, 3000. If the sequence is geometric, what is the common ratio?
Solution
To determine if the sequence is arithmetic, geometric, or neither, let us analyze it step by step.
Step 1: Checking if the sequence is arithmetic
An arithmetic sequence has a constant difference between consecutive terms. To check this:
The differences are not constant ((-3.3, 33
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Geometric Sequences
Formulas
Common difference: d = a(n) - a(n-1)
Common ratio: r = a(n) / a(n-1)
Theorems
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Suitable Grade Level
Grades 8-10
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