Math Problem Statement
Make 4 word examples of nth term of geometric sequence
Solution
Here are four word examples related to the nth term of a geometric sequence:
- Ratio growth doubles constantly.
- Terms increase exponentially each time.
- Value multiplies by constant factor.
- Sequence progression multiplies regularly.
The nth term of a geometric sequence follows the formula , where:
- is the nth term,
- is the first term,
- is the common ratio,
- is the term number.
Would you like more details on this formula?
Related Questions:
- How do you find the common ratio in a geometric sequence?
- What happens if the common ratio is a fraction?
- Can a geometric sequence have negative terms?
- How does geometric progression differ from arithmetic?
- What are real-life examples of geometric sequences?
Tip: In a geometric sequence, the common ratio between consecutive terms remains constant.
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Math Problem Analysis
Mathematical Concepts
Geometric Sequence
Exponential Growth
Formulas
nth term of geometric sequence: a_n = a_1 * r^(n-1)
Theorems
Geometric progression formula
Suitable Grade Level
Grades 9-12