Arithmetic & Geometric Sequences
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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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.
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
How do you find the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
Tags
CCSS.HSF.BF.A.2
3.
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
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be found using the formula: 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
5.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The common difference in an arithmetic sequence is the constant amount that each term increases or decreases by, denoted as d.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio in a geometric sequence is the fixed number that each term is multiplied by to get the next term, denoted as r.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
How can you determine if a sequence is arithmetic?
Back
To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
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