Precalc S1 Review - Arithmetic and Geometric Sequences/Series
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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. This difference is called the common difference.
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
How do you find the explicit formula for an arithmetic sequence?
Back
The explicit formula for 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
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.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the explicit formula for a geometric sequence?
Back
The explicit formula for 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
5.
FLASHCARD QUESTION
Front
What is the common difference in the sequence 5, 8, 11, 14...?
Back
The common difference is 3, as each term increases by 3.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio in the sequence 3, 6, 12, 24...?
Back
The common ratio is 2, as each term is multiplied by 2 to get the next term.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
How do you calculate the n-th term of an arithmetic sequence?
Back
To calculate the n-th term, use the formula a_n = a_1 + (n-1)d, substituting a_1 for the first term and d for the common difference.
Tags
CCSS.HSF.BF.A.2
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