Geometric Sequences
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Wayground Content
Used 1+ times
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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
What is the explicit formula for a geometric sequence?
Back
The explicit formula for a geometric sequence is given by a_n = a_1 * r^(n-1), where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.
Tags
CCSS.HSF.BF.A.2
3.
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.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
To find the nth term of a geometric sequence, use the formula a_n = a_1 * r^(n-1), substituting the values of a_1, r, and n.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the first term of the geometric sequence 2, 6, 18, 54, ...?
Back
The first term (a_1) is 2.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio of the geometric sequence 2, 6, 18, 54, ...?
Back
The common ratio (r) is 3, since each term is multiplied by 3 to get the next term.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Determine if the sequence 5, 15, 45, 135, ... is arithmetic, geometric, or neither.
Back
The sequence is geometric.
Tags
CCSS.HSF.BF.A.2
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