Arithmetic and Geometric Sequences and Series Review
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
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
What is the formula for 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 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: \( a_n = a_1 \cdot r^{(n-1)} \), 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 sum of the first n terms of an arithmetic series?
Back
The sum of the first n terms of an arithmetic series 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 infinite geometric series?
Back
The sum of an infinite geometric series can be calculated using the formula: \( S = \frac{a}{1 - r} \), where \( a \) is the first term and \( r \) is the common ratio (with \( |r| < 1 \)).
7.
FLASHCARD QUESTION
Front
Evaluate the series: 2 + 4 + 8 + ... + 64.
Back
The sum of the series is -42.
Tags
CCSS.HSA.SSE.B.4
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