Arithmetic Sequences and Linear Functions Review

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 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.
2.
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_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
3.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line, defined by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
How do you find the slope of a linear function from a graph?
Back
The slope (m) is calculated as the rise over run, which is the change in y divided by the change in x between two points on the line.
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of f(x) when x = 0.
6.
FLASHCARD QUESTION
Front
What is the relationship between arithmetic sequences and linear functions?
Back
Both arithmetic sequences and linear functions have a constant rate of change, meaning they increase or decrease by the same amount over equal intervals.
7.
FLASHCARD QUESTION
Front
How can you convert an explicit formula of an arithmetic sequence into function form?
Back
To convert to function form, express the nth term as a function of n, such as f(n) = a_1 + (n-1)d.
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