Arithmetic & Geometric Sequences

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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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 formula for the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be calculated using the formula: 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
What is the formula for the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be calculated using the formula: 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
How do you find the common difference in an arithmetic sequence?
Back
The common difference in an arithmetic sequence is found by subtracting any term from the subsequent term: d = a_(n+1) - a_n.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
How do you find the common ratio in a geometric sequence?
Back
The common ratio in a geometric sequence is found by dividing any term by the previous term: r = a_(n+1) / a_n.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is the sum of the first n terms of an arithmetic sequence?
Back
The sum of the first n terms of an arithmetic sequence can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.
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