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- Arithmetic, Geometric Sequences, Explicit, Recursive Formula
Arithmetic, Geometric Sequences, Explicit, Recursive Formula
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
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, 2, 4, 6, 8 is an arithmetic sequence with a common difference of 2.
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, 3, 6, 12, 24 is a geometric sequence with a common ratio of 2.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
The explicit formula for an arithmetic sequence is given by a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the recursive formula for an arithmetic sequence?
Back
The recursive formula for an arithmetic sequence is a_n = a_(n-1) + d, where a_n is the nth term, a_(n-1) is the previous term, and d is the common difference.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the explicit formula for a geometric sequence?
Back
The explicit formula for a geometric sequence is given by a_n = a_1 * r^(n-1), where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the recursive formula for a geometric sequence?
Back
The recursive formula for a geometric sequence is a_n = a_(n-1) * r, where a_n is the nth term, a_(n-1) is the previous term, and r is the common ratio.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
The common difference (d) in an arithmetic sequence can be found by subtracting any term from the subsequent term. For example, in the sequence 5, 8, 11, the common difference is 8 - 5 = 3.
Tags
CCSS.HSF.BF.A.2
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