Algebra 1 - Sequences and Patterns
Flashcard
•
Mathematics
•
8th 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. For example, in the sequence 2, 4, 6, 8, the common difference is 2.
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
How do you find the nth term of an arithmetic sequence?
Back
To find the nth term of an arithmetic sequence, use the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.
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. For example, in the sequence 3, 6, 12, 24, the common ratio is 2.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
To find the nth term of a geometric sequence, use the formula: a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the term number.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The common difference is the amount added to each term to get the next term in an arithmetic sequence. For example, in the sequence 5, 8, 11, the common difference is 3.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio is the factor by which each term is multiplied to get the next term in a geometric sequence. For example, in the sequence 2, 6, 18, the common ratio is 3.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Find the 8th term in the sequence: 3, 5, 7, 9, 11, ...
Back
16
Tags
CCSS.HSF.BF.A.2
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