Geometric and Arithmetic Sequences
Flashcard
•
Mathematics
•
9th - 12th 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 an arithmetic sequence?
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.
Tags
CCSS.HSF.BF.A.2
2.
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
3.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
The common difference (d) can be found by subtracting any term from the subsequent term: d = a_{n+1} - a_n.
Tags
CCSS.HSF.BF.A.2
4.
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+1} / a_n.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the explicit formula for a geometric sequence?
Back
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Identify if the sequence 52.5, 31.5, 18.9, 11.34 is arithmetic or geometric.
Back
The sequence is geometric.
Tags
CCSS.HSF.BF.A.2
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