Geometric Sequences
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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.
Tags
CCSS.HSF.BF.A.2
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).
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
Given the sequence 4, -16, 64, -256, what is the common ratio?
Back
r = -4.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What are the next three terms in the geometric sequence 512, 256, 128, ...?
Back
64, 32, 16.
Tags
CCSS.HSF.BF.A.2
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.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
Calculate a_5 in the sequence defined by a_n = 5 ⋅ 2^(n-1).
Back
a_5 = 80.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is the 5th term of the geometric sequence 4, 16, 64, ...?
Back
The 5th term is 256.
Tags
CCSS.HSF.BF.A.2
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