Arithmetic and Geometric 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. For example, in the sequence 2, 5, 8, 11, the common difference is 3.
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. For example, in the sequence 3, 6, 12, 24, the common ratio is 2.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
How do you find the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be found using 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
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be found using 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 in an arithmetic sequence is the fixed amount that each term increases or decreases by. It is calculated by subtracting any term from the term that follows it.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio in a geometric sequence is the factor by which each term is multiplied to get the next term. It is calculated by dividing any term by the term that precedes it.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Identify the type of sequence: 5, 10, 15, 20, ...
Back
Arithmetic sequence with a common difference of 5.
Tags
CCSS.HSF.BF.A.2
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