Graphs of Sequences

Arithmetic Sequences

Lesson 3.6

Multiple Choice

What function represents the graph of f(x) = 3x - 4 translated 6 units up?

• g(x) = 3x + 2

• g(x) = 3x - 10

• g(x) = 3x + 14

• g(x) = 3x - 22

Multiple Choice

Which function represents the graph of f(x) = 2x + 5 reflected across the y-axis?

• g(x) = 2x - 5

• g(x) = -2x + 5

• g(x) = 1/2x + 5

• g(x) = -(1/2)x + 5

Multiple Choice

Which best describes the effect on f(x) = 1/2x + 2 if the y-intercept changes to -6?

• its graph moves 8 units left

• its graph moves 8 units down

• its graph becomes less steep

• its graph becomes more steep

Multiple Choice

Determine whether 2, 4, 8, 10, 12, ... is an arithmetic sequence.

• cannot be determined

• this is not an arithmetic sequence because the difference between the terms is not constant

• this is an arithmetic sequence because the difference between the terms is constant

Multiple Choice

Determine whether 2/3, 1, 4/3, 5/3, 2, ... is an arithmetic sequence.

• cannot be determined

• this is not an arithmetic sequence because the difference between the terms is not constant

• this is an arithmetic sequence because the difference between the terms is constant

Multiple Choice

Find the next three terms of the arithmetic sequence 58, 63, 68, 73 ...

• 78, 83, 88

• 76, 79, 82

• 73, 78, 83

• 83, 88, 93

Multiple Choice

The arithmetic sequence 2, 7, 12, 17, 22, 27,...represents the total number of pencils Claire has in her collection after she goes to the school supply store each week.

Write an equation for the nth term of the sequence.

• 2n + 7

• 5n + 2

• 2n + 5

• 5n - 3

Multiple Choice

The arithmetic sequence 2, 7, 12, 17, 22, 27,...represents the total number of pencils Claire has in her collection after she goes to the school supply store each week.

Find the 12th term of the sequence.

• 12

• 57

• 52

• 62

Multiple Choice

The arithmetic sequence 2, 7, 12, 17, 22, 27,...represents the total number of pencils Claire has in her collection after she goes to the school supply store each week.

Which term of the sequence is 97?

• 10th

• 15th

• 20th

• 24th

Multiple Choice

Is the following an arithmetic sequence?

4, 7, 9, 12, ...

• yes

• no

Multiple Choice

Is the following an arithmetic sequence?

–6, –5, –3, –1, ...

• yes

• no

Multiple Choice

Is the following an arithmetic sequence?

15, 13, 11, 9, ...

• yes

• no

Multiple Choice

Is the following an arithmetic sequence?

7, 10, 13, 16, ...

• yes

• no