What is a geometric sequence?
Geometric Sequences

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•
Mathematics
•
8th - 10th 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 find the common ratio in a geometric sequence?
Back
The common ratio (r) can be found by dividing any term by the previous term: r = a_n / a_(n-1).
3.
FLASHCARD QUESTION
Front
Given the sequence 64, -16, 4, -1, what is the common ratio?
Back
r = -1/4.
4.
FLASHCARD QUESTION
Front
Given the sequence 4, -16, 64, -256, what is the common ratio?
Back
r = -4.
5.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term can be expressed as a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
6.
FLASHCARD QUESTION
Front
What is the recursive formula for a geometric sequence?
Back
The recursive formula is a_n = a_(n-1) * r.
7.
FLASHCARD QUESTION
Front
Find the next three terms in the sequence 4, 12, 36, 108.
Back
The next three terms are 324, 972, 2916.
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