Using Recursive/Explicit

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a recursive sequence?
Back
A recursive sequence is a sequence in which each term is defined as a function of one or more of its preceding terms.
2.
FLASHCARD QUESTION
Front
What is an explicit formula?
Back
An explicit formula defines the nth term of a sequence directly in terms of n, without referencing previous terms.
3.
FLASHCARD QUESTION
Front
How do you find the common ratio in a geometric sequence?
Back
The common ratio (r) is found by dividing any term by the previous term in the sequence.
4.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.
5.
FLASHCARD QUESTION
Front
Given the sequence 64, -16, 4, -1, what is the common ratio?
Back
r = -1/4.
6.
FLASHCARD QUESTION
Front
What are the next three terms in the sequence 4, 12, 36, 108?
Back
The next three terms are 324, 972, 2916.
7.
FLASHCARD QUESTION
Front
If a_1 = -3 and a_n = a_{n-1} * 3, what are the first three terms?
Back
The first three terms are -3, -9, -27.
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