Explicit Arithmetic Sequences
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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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
How do you find the common difference in a sequence?
Back
Subtract the first term from the second term (d = a2 - a1).
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
The explicit formula is given by a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, d is the common difference, and n is the term number.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
Given the sequence 3, 7, 11, 15, what is the common difference?
Back
The common difference is 4.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
Write the explicit rule for the arithmetic sequence 5, 10, 15, 20,...
Back
a_n = 5n.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Is the sequence 10, 7, 4, 1, ... arithmetic?
Back
Yes, it is arithmetic with a common difference of -3.
Tags
CCSS.HSF.BF.A.2
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