
Unit 1 Sequences Test Part 1 (9-11-25)
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 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.
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.
3.
FLASHCARD QUESTION
Front
Define 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.
4.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
The explicit formula is given by a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
5.
FLASHCARD QUESTION
Front
What is the explicit formula for a geometric sequence?
Back
The explicit formula is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
6.
FLASHCARD QUESTION
Front
How do you find the 100th term of a sequence using the explicit equation?
Back
Substitute n=100 into the explicit formula of the sequence.
7.
FLASHCARD QUESTION
Front
What is a recursive definition of a sequence?
Back
A recursive definition defines each term of the sequence based on the previous term(s).
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