Question 1

The first two terms of the arithmetic sequence are given.Find the missing term. ​
A1 = -0.6,a2 = -12.8,a8 = ?
​

Accepted Answer

A) -86 
B) 61.6 
C) 122.6 
D) -98.2 
E) -73.8 
A) -86 
B) 61.6 
C) 122.6 
D) -98.2 
E) -73.8

Question 2

Determine whether the sequence is arithmetic.If so,find the common difference. ​
32,42,52,62,72,...
​

Accepted Answer

A) Arithmetic sequence,d = -33 
B) Arithmetic sequence,d = 16 
C) Arithmetic sequence,d = -27 
D) Arithmetic sequence,d = 7 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -33 
B) Arithmetic sequence,d = 16 
C) Arithmetic sequence,d = -27 
D) Arithmetic sequence,d = 7 
E) Not an arithmetic sequence

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 = 6 + 4n
​

Accepted Answer

A) 38,34,30,26,22 Arithmetic sequence
D = -4 
B) 22,26,30,34,38 Arithmetic sequence
D = 4 
C) 10,14,18,22,26 Arithmetic sequence
D = -4 
D) 26,22,18,14,10 Arithmetic sequence
D = -4 
E) 10,14,18,22,26 Arithmetic sequence
D = 4 
A) 38,34,30,26,22 Arithmetic sequence
D = -4 
B) 22,26,30,34,38 Arithmetic sequence
D = 4 
C) 10,14,18,22,26 Arithmetic sequence
D = -4 
D) 26,22,18,14,10 Arithmetic sequence
D = -4 
E) 10,14,18,22,26 Arithmetic sequence
D = 4

Question 4

Find a formula for an for the arithmetic sequence. ​
A1 = 4,d = 7
​

Accepted Answer

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

Question 5

Find a formula for an for the arithmetic sequence.? $$a _ { 3 } = 0 , a _ { 9 } = - 12$$ ?

Accepted Answer

A) an ?= 4 - 2n 
B) an ?= -6 + 4n? 
C) an ?= - 2 + 4n? 
D) an ?= 6 - 2n? 
E) an ?= 4n 
A) an ?= 4 - 2n 
B) an ?= -6 + 4n? 
C) an ?= - 2 + 4n? 
D) an ?= 6 - 2n? 
E) an ?= 4n

Question 6

Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​
An ​= 8 + 6n
​

Accepted Answer

A) -6 
B) -8 
C) 6 
D) 8 
E) not arithmetic 
A) -6 
B) -8 
C) 6 
D) 8 
E) not arithmetic

Question 7

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 = 135 - 5n
​

Accepted Answer

A) 110,115,120,125,130 Arithmetic sequence
D = -5 
B) 105,110,115,120,125 Arithmetic sequence
D = 5 
C) 130,125,120,115,110 Arithmetic sequence
D = 5 
D) 130,125,120,115,110 Arithmetic sequence
D = -5 
E) 125,120,115,110,105 Arithmetic sequence
D = 5 
A) 110,115,120,125,130 Arithmetic sequence
D = -5 
B) 105,110,115,120,125 Arithmetic sequence
D = 5 
C) 130,125,120,115,110 Arithmetic sequence
D = 5 
D) 130,125,120,115,110 Arithmetic sequence
D = -5 
E) 125,120,115,110,105 Arithmetic sequence
D = 5

Question 8

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​2,4,8,16,32,...
​

Accepted Answer

A) Arithmetic sequence,d = 6 
B) Arithmetic sequence,d = 2 
C) Arithmetic sequence,d = -2 
D) Arithmetic sequence,d = -30 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = 6 
B) Arithmetic sequence,d = 2 
C) Arithmetic sequence,d = -2 
D) Arithmetic sequence,d = -30 
E) Not an arithmetic sequence

Question 9

Find a formula for an for the arithmetic sequence. ?
A1 = 7,d = -8
?

Accepted Answer

A)  $a _ { n } = 7 \left( - \frac { 1 } { 8 } \right) ^ { n - 1 }$ 
B)  $a _ { n } = - 8 + 7 ( n - 1 )$ 
C)  $a _ { n } = 7 - 9 n$ 
D) ? $$a _ { n } = 15 - 8 n$$ 
E)  $a _ { n } = 7 - 8 ^ { n - 1 }$ 
A)  $a _ { n } = 7 \left( - \frac { 1 } { 8 } \right) ^ { n - 1 }$ 
B)  $a _ { n } = - 8 + 7 ( n - 1 )$ 
C)  $a _ { n } = 7 - 9 n$ 
D) ? $$a _ { n } = 15 - 8 n$$ 
E)  $a _ { n } = 7 - 8 ^ { n - 1 }$

Question 10

Write the first five terms of the arithmetic sequence defined recursively. ​
A1 = 17,an + 1 = an + 4
​
​

Accepted Answer

A) 17,21,25,29,33 
B) -17,-21,-25,-29,-33 
C) 17,21,25,29,41 
D) -17,-21,-25,-29,-37 
E) 17,21,25,29,37 
A) 17,21,25,29,33 
B) -17,-21,-25,-29,-33 
C) 17,21,25,29,41 
D) -17,-21,-25,-29,-37 
E) 17,21,25,29,37

Question 11

Find the indicated nth partial sum of the arithmetic sequence. 1.5,3.1,4.7,6.3,.... ,n = 40

Accepted Answer

A) 1,234 
B) 1,308.1 
C) 1,308 
D) 1,307.9 
E) 1,372 
A) 1,234 
B) 1,308.1 
C) 1,308 
D) 1,307.9 
E) 1,372

Question 12

Find a formula for an ?for the arithmetic sequence. ?
A1 = -5,a5 = 18
?

Accepted Answer

A) an ?= $\frac { 23 } { 4 }$ n - $\frac { 43 } { 4 }$ 
B) an ?= $\frac { 23 } { 4 }$ n + 43 
C) an ?= $\frac { 43 } { 4 }$ - 43n 
D) an ?= $\frac { 43 } { 4 }$ + 43n 
E) an ?= $\frac { 23 } { 4 }$ n + $\frac { 43 } { 4 }$ 
A) an ?= $\frac { 23 } { 4 }$ n - $\frac { 43 } { 4 }$ 
B) an ?= $\frac { 23 } { 4 }$ n + 43 
C) an ?= $\frac { 43 } { 4 }$ - 43n 
D) an ?= $\frac { 43 } { 4 }$ + 43n 
E) an ?= $\frac { 23 } { 4 }$ n + $\frac { 43 } { 4 }$

Question 13

Find a formula for an ​for the arithmetic sequence. ​
A1 = 104,d = -6
​

Accepted Answer

A) an ​= -6n + 98 
B) an ​= 6n + 110 
C) an ​= 6n - 98 
D) an ​= 6n - 110 
E) an ​= -6n + 110 
A) an ​= -6n + 98 
B) an ​= 6n + 110 
C) an ​= 6n - 98 
D) an ​= 6n - 110 
E) an ​= -6n + 110

Question 14

Determine whether the sequence is arithmetic.If so,find the common difference. ?
3, $\frac { 11 } { 4 }$ , $\frac { 5 } { 2 }$ , $\frac { 9 } { 4 }$ ,2,...
?

Accepted Answer

A) Arithmetic sequence, $d = - \frac { 1 } { 4 }$ 
B) Arithmetic sequence,d = $\frac { 1 } { 4 }$ 
C) Arithmetic sequence,d = -1 
D) Arithmetic sequence, $d = \frac { 3 } { 4 }$ 
E) Not an arithmetic sequence 
A) Arithmetic sequence, $d = - \frac { 1 } { 4 }$ 
B) Arithmetic sequence,d = $\frac { 1 } { 4 }$ 
C) Arithmetic sequence,d = -1 
D) Arithmetic sequence, $d = \frac { 3 } { 4 }$ 
E) Not an arithmetic sequence

Question 15

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 = 4n - 1
​

Accepted Answer

A) 1,4,16,64,256 Arithmetic sequence
D = -4 
B) 256,64,16,4,1 Not an Arithmetic sequence 
C) 1,4,16,64,256 Not an Arithmetic sequence 
D) 256,64,16,4,1 Arithmetic sequence
D = 4 
E) 1,4,16,64,256 Arithmetic sequence
D = 4 
A) 1,4,16,64,256 Arithmetic sequence
D = -4 
B) 256,64,16,4,1 Not an Arithmetic sequence 
C) 1,4,16,64,256 Not an Arithmetic sequence 
D) 256,64,16,4,1 Arithmetic sequence
D = 4 
E) 1,4,16,64,256 Arithmetic sequence
D = 4

Question 16

Find the sum of the finite arithmetic sequence. ​
​2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20
​

Accepted Answer

A) 90 
B) 80 
C) 70 
D) 100 
E) 110 
A) 90 
B) 80 
C) 70 
D) 100 
E) 110

Question 17

Match the arithmetic sequence with its graph from the choices below. ​
​an = 35 - 3n
​

Accepted Answer

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

Question 18

Write the first five terms of the arithmetic sequence. ​
A1 = -3.6,d = -0.6
​

Accepted Answer

A) 4.2,4.8,5.4,6,6.6 
B) -3.6,-4.2,-4.8,-5.4,-6 
C) 3.6,4.2,4.8,5.4,6 
D) -4.2,-4.8,-5.4,-6,-6.6 
E) 3.6,4.2,4.8,5.4,6.6 
A) 4.2,4.8,5.4,6,6.6 
B) -3.6,-4.2,-4.8,-5.4,-6 
C) 3.6,4.2,4.8,5.4,6 
D) -4.2,-4.8,-5.4,-6,-6.6 
E) 3.6,4.2,4.8,5.4,6.6

Question 19

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​128,64,32,16,8,...
​

Accepted Answer

A) Arithmetic sequence,d = -120 
B) Arithmetic sequence,d = -8 
C) Arithmetic sequence,d = 8 
D) Arithmetic sequence,d = 24 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -120 
B) Arithmetic sequence,d = -8 
C) Arithmetic sequence,d = 8 
D) Arithmetic sequence,d = 24 
E) Not an arithmetic sequence

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 = 5 - 6(n - 4)
​

Accepted Answer

A) -13,-7,-1,5,11 Arithmetic sequence
D = -6 
B) -1,5,11,17,23 Arithmetic sequence
D = -6 
C) 23,17,11,5,-1 Arithmetic sequence
D = 6 
D) 11,5,-1,-7,-13 Arithmetic sequence
D = 6 
E) 23,17,11,5,-1 Arithmetic sequence
D = -6 
A) -13,-7,-1,5,11 Arithmetic sequence
D = -6 
B) -1,5,11,17,23 Arithmetic sequence
D = -6 
C) 23,17,11,5,-1 Arithmetic sequence
D = 6 
D) 11,5,-1,-7,-13 Arithmetic sequence
D = 6 
E) 23,17,11,5,-1 Arithmetic sequence
D = -6

Exam 53: Arithmetic Sequences and Partial Sums

The first two terms of the arithmetic sequence are given.Find the missing term. ​ A1 = -0.6,a2 = -12.8,a8 = ? ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ 32,42,52,62,72,... ​

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 = 6 + 4n ​

Find a formula for an for the arithmetic sequence. ​ A1 = 4,d = 7 ​

Find a formula for an for the arithmetic sequence.? a3=0,a9=−12a _ { 3 } = 0 , a _ { 9 } = - 12a3​=0,a9​=−12 ?

Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An ​= 8 + 6n ​

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 = 135 - 5n ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​2,4,8,16,32,... ​

Find a formula for an for the arithmetic sequence. ? A1 = 7,d = -8 ?

Write the first five terms of the arithmetic sequence defined recursively. ​ A1 = 17,an + 1 = an + 4 ​ ​

Find the indicated nth partial sum of the arithmetic sequence. 1.5,3.1,4.7,6.3,.... ,n = 40

Find a formula for an ?for the arithmetic sequence. ? A1 = -5,a5 = 18 ?

Find a formula for an ​for the arithmetic sequence. ​ A1 = 104,d = -6 ​

Determine whether the sequence is arithmetic.If so,find the common difference. ? 3, 114\frac { 11 } { 4 }411​ , 52\frac { 5 } { 2 }25​ , 94\frac { 9 } { 4 }49​ ,2,... ?

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 = 4n - 1 ​

Find the sum of the finite arithmetic sequence. ​ ​2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 ​

Match the arithmetic sequence with its graph from the choices below. ​ ​an = 35 - 3n ​

Write the first five terms of the arithmetic sequence. ​ A1 = -3.6,d = -0.6 ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​128,64,32,16,8,... ​

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. ) ​ An = 5 - 6(n - 4) ​

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

The first two terms of the arithmetic sequence are given.Find the missing term. A₁ = -0.6,a₂ = -12.8,a₈ = ?

Determine whether the sequence is arithmetic.If so,find the common difference. 3²,4²,5²,6²,7²,...

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 = 6 + 4n

Find a formula for a_n for the arithmetic sequence. A₁ = 4,d = 7

Find a formula for a_n for the arithmetic sequence.? $a _ { 3 } = 0 , a _ { 9 } = - 12$ ?

Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n= 8 + 6n

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 = 135 - 5n

Determine whether the sequence is arithmetic.If so,find the common difference. 2,4,8,16,32,...

Find a formula for a_n for the arithmetic sequence. ? A₁ = 7,d = -8 ?

Write the first five terms of the arithmetic sequence defined recursively. A₁ = 17,an_{+ 1} = a_n + 4

Find a formula for a_n?for the arithmetic sequence. ? A₁ = -5,a₅ = 18 ?

Find a formula for a_nfor the arithmetic sequence. A₁ = 104,d = -6

Determine whether the sequence is arithmetic.If so,find the common difference. ? 3, $\frac { 11 } { 4 }$ , $\frac { 5 } { 2 }$ , $\frac { 9 } { 4 }$ ,2,... ?

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 = 4n - ¹

Find the sum of the finite arithmetic sequence. 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20

Match the arithmetic sequence with its graph from the choices below. a_n = 35 - 3n

Write the first five terms of the arithmetic sequence. A₁ = -3.6,d = -0.6

Determine whether the sequence is arithmetic.If so,find the common difference. 128,64,32,16,8,...

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 = 5 - 6(n - 4)