Unit 5 Sequences

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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11 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 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
3.
FLASHCARD QUESTION
Front
How do you determine if a sequence is arithmetic, geometric, or neither?
Back
To determine the type of sequence, check the differences between consecutive terms for arithmetic (constant difference) or the ratios for geometric (constant ratio). If neither condition is met, the sequence is neither.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the formula for the n-th term of an arithmetic sequence?
Back
The n-th term of an arithmetic sequence can be expressed as 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
5.
FLASHCARD QUESTION
Front
What is the formula for the n-th term of a geometric sequence?
Back
The n-th term of a geometric sequence can be expressed as 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
6.
FLASHCARD QUESTION
Front
What is a common difference in an arithmetic sequence?
Back
The common difference is the constant amount that each term in an arithmetic sequence increases or decreases by.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is a common ratio in a geometric sequence?
Back
The common ratio is the fixed number that each term in a geometric sequence is multiplied by to get the next term.
Tags
CCSS.HSF.BF.A.2
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