Arithmetic and Geometric Series Practice

Flashcard
•
Mathematics
•
10th Grade - University
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an arithmetic series?
Back
An arithmetic series is the sum of the terms of an arithmetic sequence, where each term after the first is obtained by adding a constant difference (d) to the previous term.
2.
FLASHCARD QUESTION
Front
How do you find the sum of the first n terms of an arithmetic series?
Back
The sum S_n of the first n terms of an arithmetic series can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_1 is the first term and a_n is the nth term.
3.
FLASHCARD QUESTION
Front
What is a geometric series?
Back
A geometric series is the sum of the terms of a geometric sequence, where each term after the first is obtained by multiplying the previous term by a constant ratio (r).
Tags
CCSS.HSA.SSE.B.4
4.
FLASHCARD QUESTION
Front
How do you find the sum of the first n terms of a geometric series?
Back
The sum S_n of the first n terms of a geometric series can be calculated using the formula: S_n = a_1 * (1 - r^n) / (1 - r), where a_1 is the first term and r is the common ratio.
Tags
CCSS.HSA.SSE.B.4
5.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The common difference (d) in an arithmetic sequence is the constant amount that is added to each term to get the next term.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio (r) in a geometric sequence is the constant factor by which each term is multiplied to get the next term.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Evaluate S_12 for the arithmetic series where a_1 = ?, a_12 = 48, and d = 4.
Back
S_12 = 312.
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