Arithmetic Sequences and Their Rules
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
Used 1+ times
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. This difference is called the common difference.
2.
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.
3.
FLASHCARD QUESTION
Front
What is the common difference in the sequence 3, 7, 11, 15?
Back
The common difference is 4, as each term increases by 4.
4.
FLASHCARD QUESTION
Front
If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?
Back
The 10th term is 32, calculated as \( 5 + (10-1) \times 3 = 32 \).
5.
FLASHCARD QUESTION
Front
What is the sum of the first n terms of an arithmetic sequence?
Back
The sum of the first n terms can be calculated using the formula: \( S_n = \frac{n}{2} (a_1 + a_n) \) or \( S_n = \frac{n}{2} (2a_1 + (n-1)d) \).
6.
FLASHCARD QUESTION
Front
What is the formula for the sum of an arithmetic series?
Back
The formula for the sum of an arithmetic series is: \( S_n = \frac{n}{2} (a_1 + a_n) \), where \( S_n \) is the sum, \( n \) is the number of terms, \( a_1 \) is the first term, and \( a_n \) is the last term.
7.
FLASHCARD QUESTION
Front
What is the difference between an arithmetic sequence and a geometric sequence?
Back
An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio between terms.
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
10 questions
English 10 (Final Round)
Flashcard
•
10th Grade
11 questions
Research Methods and Definitions
Flashcard
•
9th Grade
10 questions
Panca Indera untuk Anak-Anak
Flashcard
•
KG
10 questions
Understanding Relative Clauses
Flashcard
•
9th Grade
11 questions
Digital Marketing Strategies in Agriculture
Flashcard
•
KG
11 questions
Age of Exploration Review
Flashcard
•
9th Grade
10 questions
КОЛИЧЕСТВО ВЕЩЕСТВА
Flashcard
•
8th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
54 questions
Analyzing Line Graphs & Tables
Quiz
•
4th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
Discover more resources for Mathematics
20 questions
Graphing Inequalities on a Number Line
Quiz
•
6th - 9th Grade
18 questions
SAT Prep: Ratios, Proportions, & Percents
Quiz
•
9th - 10th Grade
12 questions
Exponential Growth and Decay
Quiz
•
9th Grade
12 questions
Add and Subtract Polynomials
Quiz
•
9th - 12th Grade
15 questions
Combine Like Terms and Distributive Property
Quiz
•
8th - 9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
10 questions
Elijah McCoy: Innovations and Impact in Black History
Interactive video
•
6th - 10th Grade
16 questions
Converting Improper Fractions to Mixed Numbers
Quiz
•
4th - 10th Grade