Intro to Arithmetic Sequences

Flashcard
•
Mathematics
•
9th 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
What is the common difference in an arithmetic sequence?
Back
The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
Provide an example of an arithmetic sequence.
Back
An example of an arithmetic sequence is: 2, 5, 8, 11, 14 (common difference = 3).
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the common difference in a sequence?
Back
To find the common difference, subtract any term from the term that follows it (e.g., d = a2 - a1).
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
True or False: The common difference can be negative in an arithmetic sequence.
Back
True.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term (an) 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
7.
FLASHCARD QUESTION
Front
If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?
Back
The 5th term is 4 + (5-1)2 = 4 + 8 = 12.
Tags
CCSS.HSF.BF.A.2
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