Algebra 2 Midterm

Flashcard
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is an arithmetic sequence?
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d).
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
To find the common difference (d) in an arithmetic sequence, subtract any term from the subsequent term: d = a_{n+1} - a_n.
Tags
CCSS.HSF.BF.A.2
3.
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 (r).
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
How do you find the common ratio in a geometric sequence?
Back
To find the common ratio (r) in a geometric sequence, divide any term by the previous term: r = a_{n+1} / a_n.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
The explicit formula for an arithmetic sequence is given by: 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
6.
FLASHCARD QUESTION
Front
What is the explicit formula for a geometric sequence?
Back
The explicit formula for a geometric sequence is given by: 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
7.
FLASHCARD QUESTION
Front
How do you determine if a sequence is arithmetic or geometric?
Back
To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. To determine if it is geometric, check if the ratio of consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
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