AQR sequence RV_U4
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
Define a recursive formula.
Back
A recursive formula defines each term of a sequence using the preceding term(s). It requires knowledge of previous terms to compute the next term.
2.
FLASHCARD QUESTION
Front
What is an explicit formula?
Back
An explicit formula allows the computation of any term in a sequence directly without needing to know the previous terms.
3.
FLASHCARD QUESTION
Front
Find the first five terms of the sequence defined by the recursive formula: an+1 = an + 5, where a1 = 1.
Back
1, 6, 11, 16, 21
4.
FLASHCARD QUESTION
Front
What is the difference between an arithmetic sequence and a geometric sequence?
Back
An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.
5.
FLASHCARD QUESTION
Front
Write the recursive formula for the sequence: 3, 6, 9, 12, ...
Back
an+1 = an + 3
6.
FLASHCARD QUESTION
Front
Find the first four terms of the sequence defined by: an+1 = an * 2, where a1 = 1.
Back
1, 2, 4, 8
7.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be expressed as: an = a1 + (n-1)d, where d is the common difference.
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