Sequences, Series & Summation

Flashcard
•
Mathematics
•
11th Grade
•
Medium
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a sequence in mathematics?
Back
A sequence is an ordered list of numbers that follow a specific pattern or rule.
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
Define an arithmetic sequence.
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term (a_n) can be calculated 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
4.
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
5.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term (a_n) can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is a series in mathematics?
Back
A series is the sum of the terms of a sequence.
Tags
CCSS.HSA.SSE.B.4
7.
FLASHCARD QUESTION
Front
Define the summation notation.
Back
Summation notation is a way to represent the sum of a sequence of numbers using the Greek letter sigma (Σ).
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