4. Linear Functions

4.01 Review: Slope as rate of change

4.02 The slope formula

4.03 Transformations of y=x

Investigation: Exploring slopes and equations of lines

4.04 Slope-intercept form

4.05 Standard form

Investigation: Relationship between shoulder span and height

4.06 Point-slope form

4.07 Graphical solutions to linear equations or inequalities

4.08 Graphing linear inequalities in two variables

4.09 Modeling linear relationships

4.10 Comparing linear relationships

4.11 Arithmetics sequences as linear functions

4.12 Graphs and characteristics of absolute value functions

United States of America OH

High School

4.11 Arithmetics sequences as linear functions

Interactive practice questions

How is the common difference of an arithmetic sequence obtained?

By choosing any term after the first and subtracting the preceding term from it.

A

By choosing any term after the first and adding the subsequent term to it.

B

By choosing any term after the first and dividing it by the preceding term.

C

By choosing any term after the first and adding the preceding term to it.

D

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Outcomes

F.IF.3

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1,

F.BF.1a.i

Determine an explicit expression, a recursive process, or steps for calculation from context. I. Focus on linear and exponential functions.

F.LE.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

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