Arithmetic Sequences -> Linear Functions

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What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

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CCSS.HSF.BF.A.2

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

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 y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What do the variables m and b represent in the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept.

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CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you identify the y-intercept from an equation?

Back

The y-intercept can be identified as the value of y when x = 0 in the equation.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

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CCSS.8.EE.B.5

Front

How can you convert an arithmetic sequence formula to slope-intercept form?

Back

To convert an arithmetic sequence formula to slope-intercept form, express it in the form y = mx + b, identifying the slope and y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept indicates the point where the line crosses the y-axis, representing the output value when the input is zero.

Front

How do you determine if a table represents a linear function?

Back

A table represents a linear function if the differences between consecutive y-values are constant for equal differences in x-values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2