Arithmetic/Geometric Sequences & Series
Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of 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
What is the definition of a geometric sequence?
Back
A geometric sequence is a sequence of numbers in which 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
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be calculated using the formula: an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be calculated using the formula: an = a1 * r(n-1), where a1 is the first term and r is the common ratio.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
How do you determine if a sequence is arithmetic?
Back
A sequence is arithmetic if the difference between consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
How do you determine if a sequence is geometric?
Back
A sequence is geometric if the ratio of consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The common difference is the fixed amount added to each term to get the next term in an arithmetic sequence.
Tags
CCSS.HSF.BF.A.2
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