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
What is the common ratio (r) in a geometric sequence?
Back
The common ratio (r) is the factor by which we multiply each term to get the next term in a geometric sequence.
3.
FLASHCARD QUESTION
Front
If the first term of a geometric sequence is 3 and the common ratio is 2, what are the first five terms?
Back
3, 6, 12, 24, 48
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
The nth term can be found using the formula: g_n = g_1 * r^(n-1), where g_1 is the first term and r is the common ratio.
5.
FLASHCARD QUESTION
Front
What does g_1 represent in a geometric sequence?
Back
g_1 represents the first term of the geometric sequence.
6.
FLASHCARD QUESTION
Front
Is the sequence 2, 6, 18, 54 a geometric sequence?
Back
Yes, because each term is multiplied by 3 to get the next term.
7.
FLASHCARD QUESTION
Front
What are the next three terms in the geometric sequence: 81, 27, 9, ___, ___, ___?
Back
3, 1, 1/3
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