Arithmetic & Geometric Sequences

Flashcard
•
Mathematics
•
9th 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. 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 nth term of an arithmetic sequence can be expressed as an = a1 + (n-1)d, where a1 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 common ratio in a geometric sequence?
Back
The common ratio (r) can be found by dividing any term by the previous term, r = an/an-1.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the difference between an arithmetic sequence and a geometric sequence?
Back
In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the recursive formula for an arithmetic sequence?
Back
The recursive formula for an arithmetic sequence can be expressed as an = an-1 + d, where d is the common difference.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is the recursive formula for a geometric sequence?
Back
The recursive formula for a geometric sequence can be expressed as an = an-1 * r, where r is the common ratio.
Tags
CCSS.HSF.BF.A.2
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