Geometric Sequences
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a geometric sequence?
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 geometric sequence 3, 9, 27, what is the common ratio?
Back
The common ratio is 3, since 9/3 = 3 and 27/9 = 3.
4.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term (a_n) can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
5.
FLASHCARD QUESTION
Front
Find the next term in the geometric sequence: 5, 15, 45...
Back
The next term is 135.
6.
FLASHCARD QUESTION
Front
If the first term of a geometric sequence is 2 and the common ratio is 4, what is the 4th term?
Back
The 4th term is 128.
7.
FLASHCARD QUESTION
Front
What is the next term of the geometric sequence: 2, 10, 50...?
Back
The next term is 250.
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