Math Problem Statement
Instructions: Identify the word described by the following statement.
The constant value which is multiplied by each term in a geometric sequence to obtain the next term.
Solution
The word described by the statement is "common ratio."
In a geometric sequence, the common ratio is the constant value by which each term is multiplied to obtain the next term.
Would you like further details on this concept or have any questions?
Here are 5 related questions to consider:
- How do you calculate the common ratio in a geometric sequence?
- What is the formula for the nth term of a geometric sequence?
- How does the common ratio affect the growth or decay of a sequence?
- Can the common ratio be a negative number, and what effect does that have?
- What is the difference between arithmetic and geometric sequences?
Tip: In geometric sequences, the common ratio remains constant, while in arithmetic sequences, the difference between terms is constant.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Sequences and Series
Geometric Sequences
Formulas
nth term of a geometric sequence: a_n = a_1 * r^(n-1)
Theorems
Geometric sequence theorem
Suitable Grade Level
Grades 8-10
Related Recommendation
Find the Common Ratio in a Geometric Sequence with Multiple Choices
Find the Common Ratio and Next Term in a Geometric Sequence
Identifying Geometric Sequences and Finding Common Ratios
Understanding Geometric Sequences: Common Ratio and Explicit Formulas
Identify the Geometric Sequence from a List of Sequences