Recursive & Explicit Sequences

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a recursive sequence?
Back
A sequence where each term is defined based on one or more previous terms.
2.
FLASHCARD QUESTION
Front
What is an explicit formula?
Back
A formula that allows you to calculate the nth term of a sequence without needing to know the previous terms.
3.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The constant amount that each term increases or decreases by.
4.
FLASHCARD QUESTION
Front
How do you find the nth term of an arithmetic sequence?
Back
Use the formula: 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 formula for the nth term of a geometric sequence?
Back
a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The factor by which each term is multiplied to get the next term.
7.
FLASHCARD QUESTION
Front
How do you identify a recursive formula?
Back
It typically has the form a_n = f(a_{n-1}), where f is a function of the previous term.
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