What is a geometric sequence?
Geometric Sequences

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
2.
FLASHCARD QUESTION
Front
How do you determine if a sequence is geometric?
Back
A sequence is geometric if the ratio of consecutive terms is constant.
3.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be expressed as a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
4.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio is the factor by which we multiply each term to get the next term in the sequence.
5.
FLASHCARD QUESTION
Front
Given the sequence 729, 243, 81, what is the common ratio?
Back
The common ratio is 1/3.
6.
FLASHCARD QUESTION
Front
Write the explicit formula for the geometric sequence 729, 243, 81.
Back
a_n = 729(1/3)^(n-1).
7.
FLASHCARD QUESTION
Front
Find the first four terms of the sequence defined by a_n = 4(5)^(n-1).
Back
The first four terms are 4, 20, 100, 500.
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