Question 1

Write the first five terms of the arithmetic sequence. ​
A1 = 8,d = 8
​

Accepted Answer

A) 16,24,32,40,8 
B) 8,16,24,32,48 
C) 8,16,24,32,40 
D) 16,24,32,40,48 
E) 8,0,24,32,40 
A) 16,24,32,40,8 
B) 8,16,24,32,48 
C) 8,16,24,32,40 
D) 16,24,32,40,48 
E) 8,0,24,32,40 C

Question 2

Find a formula for an ?for the arithmetic sequence. ?
A1 = 8,a4 = 18
?

Accepted Answer

A) an ?= $\frac { 14 } { 3 }$ + 14n 
B) an ?= $\frac { 14 } { 3 }$ - 14n 
C) an ?= $\frac { 10 } { 3 }$ n - $\frac { 14 } { 3 }$ 
D) an ?= $\frac { 10 } { 3 }$ n + 14 
E) an ?= $\frac { 10 } { 3 }$ n + $\frac { 14 } { 3 }$ 
A) an ?= $\frac { 14 } { 3 }$ + 14n 
B) an ?= $\frac { 14 } { 3 }$ - 14n 
C) an ?= $\frac { 10 } { 3 }$ n - $\frac { 14 } { 3 }$ 
D) an ?= $\frac { 10 } { 3 }$ n + 14 
E) an ?= $\frac { 10 } { 3 }$ n + $\frac { 14 } { 3 }$ E

Question 3

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​
An = 2 + (n ​- 2)5
​

Accepted Answer

A) 17,12,7,2,-3 Arithmetic sequence
D = -5 
B) -3,2,7,12,17 Arithmetic sequence
D = 5 
C) -3,2,7,12,17 Arithmetic sequence
D = -5 
D) 32,27,22,17,12 Arithmetic sequence
D = -5 
E) 12,17,22,27,32 Arithmetic sequence
D = 5 
A) 17,12,7,2,-3 Arithmetic sequence
D = -5 
B) -3,2,7,12,17 Arithmetic sequence
D = 5 
C) -3,2,7,12,17 Arithmetic sequence
D = -5 
D) 32,27,22,17,12 Arithmetic sequence
D = -5 
E) 12,17,22,27,32 Arithmetic sequence
D = 5 B

Question 4

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​16,14,12,10,8,...
​

Accepted Answer

A) Arithmetic sequence,d = -8 
B) Arithmetic sequence,d = 2 
C) Arithmetic sequence,d = ​4 
D) Arithmetic sequence,d = -2 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -8 
B) Arithmetic sequence,d = 2 
C) Arithmetic sequence,d = ​4 
D) Arithmetic sequence,d = -2 
E) Not an arithmetic sequence

Question 5

Determine whether the sequence is arithmetic.If so,find the common difference. 5,25,125,625,3125

Accepted Answer

A) -5 
B) 5 
C) 5n - 5n - 1 
D) not arithmetic 
E) ​5n 
A) -5 
B) 5 
C) 5n - 5n - 1 
D) not arithmetic 
E) ​5n

Question 6

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​
An = (2n)n
​

Accepted Answer

A) 2,8,24,64,160 Arithmetic sequence
D = -2 
B) 160,64,24,8,2 Arithmetic sequence
D = 2 
C) 160,64,24,8,2 Not an Arithmetic sequence 
D) 2,8,24,64,160 Arithmetic sequence
D = 2 
E) 2,8,24,64,160 Not an Arithmetic sequence 
A) 2,8,24,64,160 Arithmetic sequence
D = -2 
B) 160,64,24,8,2 Arithmetic sequence
D = 2 
C) 160,64,24,8,2 Not an Arithmetic sequence 
D) 2,8,24,64,160 Arithmetic sequence
D = 2 
E) 2,8,24,64,160 Not an Arithmetic sequence

Question 7

Write the first five terms of the arithmetic sequence. ​
A1 = 4,a12 = 48
​

Accepted Answer

A) -4,-12,-20,-22,-24 
B) -4,-8,-12,-16,-20 
C) 20,16,12,8,4 
D) -4,-12,-20,-8,-16 
E) 4,8,12,16,20 
A) -4,-12,-20,-22,-24 
B) -4,-8,-12,-16,-20 
C) 20,16,12,8,4 
D) -4,-12,-20,-8,-16 
E) 4,8,12,16,20

Question 8

Write the first five terms of the arithmetic sequence. ​
A1 = 5,d = 7
​

Accepted Answer

A) 5,12,19,26,33 
B) 12,19,26,33,40 
C) 5,-2,-9,-16,-23 
D) 5,12,17,22,27 
E) 5,35,245,1715,12005 
A) 5,12,19,26,33 
B) 12,19,26,33,40 
C) 5,-2,-9,-16,-23 
D) 5,12,17,22,27 
E) 5,35,245,1715,12005

Question 9

Determine whether the sequence is arithmetic.If so,find the common difference. ​
7,12,17,22,27,...
​

Accepted Answer

A) Arithmetic sequence,d = 5 
B) Arithmetic sequence,d = 10 
C) Arithmetic sequence,d = -5 
D) Arithmetic sequence,d = -27 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = 5 
B) Arithmetic sequence,d = 10 
C) Arithmetic sequence,d = -5 
D) Arithmetic sequence,d = -27 
E) Not an arithmetic sequence

Question 10

Write the nth term of the arithmetic sequence as a function of n. ​
A1 = -7,ak + 1 = ak + 4

Accepted Answer

A) an = 3 + 4n 
B) an = -7 + 4n 
C) an = 11 - 7n 
D) an = -3 + 4n 
E) an = -11 + 4n 
A) an = 3 + 4n 
B) an = -7 + 4n 
C) an = 11 - 7n 
D) an = -3 + 4n 
E) an = -11 + 4n

Question 11

Write the first five terms of the arithmetic sequence defined recursively. ​
A1 = 0.275,an + 1 = an + 0.25
​
​

Accepted Answer

A) 0.275,0.525,0.775,1.025,1.775 
B) -0.275,-0.525,-0.775,-1.025,-1.275 
C) 0.275,0.525,0.775,1.025,1.525 
D) -0.275,-0.525,-0.775,-1.025,-1.525 
E) 0.275,0.525,0.775,1.025,1.275 
A) 0.275,0.525,0.775,1.025,1.775 
B) -0.275,-0.525,-0.775,-1.025,-1.275 
C) 0.275,0.525,0.775,1.025,1.525 
D) -0.275,-0.525,-0.775,-1.025,-1.525 
E) 0.275,0.525,0.775,1.025,1.275

Question 12

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. )You may need to adjust the graphing window to the sizes indicated below to answer the question. ​
​an = -0.4n + 12
​

Accepted Answer

A)    ​ 
B)    
C) ​   
D)    
E)    
A)    ​ 
B)    
C) ​   
D)    
E)

Question 13

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile? ​

Accepted Answer

A) 464 
B) 465 
C) 450 
D) 435 
E) none of the above 
A) 464 
B) 465 
C) 450 
D) 435 
E) none of the above

Question 14

Find a formula for an ?for the arithmetic sequence. ?
A1 = 0,d = - $\frac { 6 } { 7 }$ ?

Accepted Answer

A) an ?= $\frac { 6 } { 7 }$ n - $\frac { 6 } { 7 }$ 
B) an ?= - $\frac { 7 } { 6 }$ n - $\frac { 7 } { 6 }$ 
C) an ?= - $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ 
D) an ?= $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ 
E) an ?= - $\frac { 7 } { 6 }$ n + $\frac { 7 } { 6 }$ 
A) an ?= $\frac { 6 } { 7 }$ n - $\frac { 6 } { 7 }$ 
B) an ?= - $\frac { 7 } { 6 }$ n - $\frac { 7 } { 6 }$ 
C) an ?= - $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ 
D) an ?= $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ 
E) an ?= - $\frac { 7 } { 6 }$ n + $\frac { 7 } { 6 }$

Question 15

Find the sum of the finite arithmetic sequence. ​
3 + 7 + 11 + 15 + 19 + 23 + 27
​

Accepted Answer

A) 107 
B) 109 
C) 105 
D) 1105 
E) 113 
A) 107 
B) 109 
C) 105 
D) 1105 
E) 113

Question 16

The first two terms of the arithmetic sequence are given.Find the indicated term.? $a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\square$ ?

Accepted Answer

A) -3 
B) 69 
C) 76 
D) 83 
E) -4 
A) -3 
B) 69 
C) 76 
D) 83 
E) -4

Question 17

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​5)3,5.7,6.1,6.5,6.9,...
​

Accepted Answer

A) Arithmetic sequence,d = -0.4 
B) Arithmetic sequence,d = -1.6 
C) Arithmetic sequence,d = 0.8 
D) Arithmetic sequence,d = 0.4 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -0.4 
B) Arithmetic sequence,d = -1.6 
C) Arithmetic sequence,d = 0.8 
D) Arithmetic sequence,d = 0.4 
E) Not an arithmetic sequence

Question 18

Find a formula for an ​for the arithmetic sequence. ​
16,11,6,1,-4,...
​

Accepted Answer

A) an ​= 1 - 5n 
B) an ​= 1 + 5n 
C) an ​= -5n + ​21 
D) an ​= 5n - 21 
E) an ​= 5n + 21 
A) an ​= 1 - 5n 
B) an ​= 1 + 5n 
C) an ​= -5n + ​21 
D) an ​= 5n - 21 
E) an ​= 5n + 21

Question 19

Find a formula for an ?for the arithmetic sequence. ?a3 = 94,a6 = 87
?

Accepted Answer

A) an ?= $\frac { 7 } { 3 }$ n - 101 
B) an ?= $- \frac { 7 } { 3 }$ n + 101 
C) an ?= 101 - 303n 
D) an ?= $\frac { 7 } { 3 }$ n + 303 
E) an ?= 101 + 303n 
A) an ?= $\frac { 7 } { 3 }$ n - 101 
B) an ?= $- \frac { 7 } { 3 }$ n + 101 
C) an ?= 101 - 303n 
D) an ?= $\frac { 7 } { 3 }$ n + 303 
E) an ?= 101 + 303n

Question 20

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​
An = (-2)n
​

Accepted Answer

A) ​-2,4,-8,16,-32 Not an Arithmetic sequence 
B) -32,-16,-8,-4,-2 Arithmetic sequence
D = 2 
C) -2,4,-8,16,-32 Arithmetic sequence
D = -2 
D) -2,4,-8,-16,-32 Arithmetic sequence
D = 2 
E) -32,-16,-8,4,-2 Not an Arithmetic sequence 
A) ​-2,4,-8,16,-32 Not an Arithmetic sequence 
B) -32,-16,-8,-4,-2 Arithmetic sequence
D = 2 
C) -2,4,-8,16,-32 Arithmetic sequence
D = -2 
D) -2,4,-8,-16,-32 Arithmetic sequence
D = 2 
E) -32,-16,-8,4,-2 Not an Arithmetic sequence

Exam 53: Arithmetic Sequences and Partial Sums

Write the first five terms of the arithmetic sequence. ​ A1 = 8,d = 8 ​

Find a formula for an ?for the arithmetic sequence. ? A1 = 8,a4 = 18 ?

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = 2 + (n ​- 2)5 ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​16,14,12,10,8,... ​

Determine whether the sequence is arithmetic.If so,find the common difference. 5,25,125,625,3125

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = (2n)n ​

Write the first five terms of the arithmetic sequence. ​ A1 = 4,a12 = 48 ​

Write the first five terms of the arithmetic sequence. ​ A1 = 5,d = 7 ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ 7,12,17,22,27,... ​

Write the nth term of the arithmetic sequence as a function of n. ​ A1 = -7,ak + 1 = ak + 4

Write the first five terms of the arithmetic sequence defined recursively. ​ A1 = 0.275,an + 1 = an + 0.25 ​ ​

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. )You may need to adjust the graphing window to the sizes indicated below to answer the question. ​ ​an = -0.4n + 12 ​

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile? ​

Find a formula for an ?for the arithmetic sequence. ? A1 = 0,d = - 67\frac { 6 } { 7 }76​ ?

Find the sum of the finite arithmetic sequence. ​ 3 + 7 + 11 + 15 + 19 + 23 + 27 ​

The first two terms of the arithmetic sequence are given.Find the indicated term.? a1=−1,a2=6,a11=□a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\squarea1​=−1,a2​=6,a11​=□ ?

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​5)3,5.7,6.1,6.5,6.9,... ​

Find a formula for an ​for the arithmetic sequence. ​ 16,11,6,1,-4,... ​

Find a formula for an ?for the arithmetic sequence. ?a3 = 94,a6 = 87 ?

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = (-2)n ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Write the first five terms of the arithmetic sequence. A₁ = 8,d = 8

Find a formula for a_n?for the arithmetic sequence. ? A₁ = 8,a₄= 18 ?

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = 2 + (n - 2)5

Determine whether the sequence is arithmetic.If so,find the common difference. 16,14,12,10,8,...

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = (2n)n

Write the first five terms of the arithmetic sequence. A₁ = 4,a₁₂ = 48

Write the first five terms of the arithmetic sequence. A₁ = 5,d = 7

Determine whether the sequence is arithmetic.If so,find the common difference. 7,12,17,22,27,...

Write the nth term of the arithmetic sequence as a function of n. A₁ = -7,ak_{+ 1} = a_k + 4

Write the first five terms of the arithmetic sequence defined recursively. A₁ = 0.275,an_{+ 1} = a_n + 0.25

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. )You may need to adjust the graphing window to the sizes indicated below to answer the question. a_n = -0.4n + 12

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile?

Find a formula for a_n?for the arithmetic sequence. ? A₁ = 0,d = - $\frac { 6 } { 7 }$ ?

Find the sum of the finite arithmetic sequence. 3 + 7 + 11 + 15 + 19 + 23 + 27

The first two terms of the arithmetic sequence are given.Find the indicated term.? $a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\square$ ?

Determine whether the sequence is arithmetic.If so,find the common difference. 5)3,5.7,6.1,6.5,6.9,...

Find a formula for a_nfor the arithmetic sequence. 16,11,6,1,-4,...

Find a formula for a_n?for the arithmetic sequence. ?a₃ = 94,a₆ = 87 ?

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = (-2)n