Question 1

Write the first five terms of the arithmetic sequence defined recursively. ​
A1 = 206,an + 1 = an - 14
​
​

Accepted Answer

A) -206,-192,-178,-164,-136 
B) 206,192,178,164,122 
C) 206,192,178,164,150 
D) -206,-192,-178,-164,-150 
E) 206,192,178,164,136 
A) -206,-192,-178,-164,-136 
B) 206,192,178,164,122 
C) 206,192,178,164,150 
D) -206,-192,-178,-164,-150 
E) 206,192,178,164,136

Question 2

Determine whether the sequence is arithmetic.If so,find the common difference. 2,7,12,17,22

Accepted Answer

A) -5 
B) -3 
C) 5 
D) not arithmetic 
E) 2 
A) -5 
B) -3 
C) 5 
D) not arithmetic 
E) 2

Question 3

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​ln4,ln5,ln6,ln7,ln8,...
​

Accepted Answer

A) Arithmetic sequence,d = 0.41 
B) Arithmetic sequence,d = -0.22 
C) Arithmetic sequence,d = -0.56 
D) Arithmetic sequence,d = 0.22 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = 0.41 
B) Arithmetic sequence,d = -0.22 
C) Arithmetic sequence,d = -0.56 
D) Arithmetic sequence,d = 0.22 
E) Not an arithmetic sequence

Question 4

Write the first six terms of the arithmetic sequence with the given properties. ​
A​1 = 3,d = 4
​

Accepted Answer

A) 4,8,12,16,20,24 
B) 3,7,11,15,19,23 
C) 3,6,9,12,15,18 
D) 4,7,10,13,16,19 
E) 3,8,12,16,20,24 
A) 4,8,12,16,20,24 
B) 3,7,11,15,19,23 
C) 3,6,9,12,15,18 
D) 4,7,10,13,16,19 
E) 3,8,12,16,20,24

Question 5

The first two terms of the arithmetic sequence are given.Find the missing term. ​
A1 = 2.2,a2 = 3.6,a7 = ?
​

Accepted Answer

A) 13.4 
B) 12 
C) 16.2 
D) 9.2 
E) 10.6 
A) 13.4 
B) 12 
C) 16.2 
D) 9.2 
E) 10.6

Question 6

Write the first five terms of the arithmetic sequence defined recursively.? $$a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }$$ ? ?

Accepted Answer

A)  $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$ 
B)  $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$ , $\frac { 7 } { 8 }$ 
C)  $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 9 } { 4 }$ ,-1 
D)  $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $- \frac { 13 } { 8 }$ ,-1, $\frac { 1 } { 4 }$ 
E)  $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 9 } { 4 }$ 
A)  $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$ 
B)  $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$ , $\frac { 7 } { 8 }$ 
C)  $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 9 } { 4 }$ ,-1 
D)  $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $- \frac { 13 } { 8 }$ ,-1, $\frac { 1 } { 4 }$ 
E)  $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 9 } { 4 }$

Question 7

Find a formula for an ​for the arithmetic sequence. ​
A1 = 16,d = 6
​

Accepted Answer

A) an ​= -6n​ + 22 
B) an ​= -6n + 10 
C) an ​= 6n ​- 10 
D) an ​= 6n + 10 
E) an ​= 6n - 22 
A) an ​= -6n​ + 22 
B) an ​= -6n + 10 
C) an ​= 6n ​- 10 
D) an ​= 6n + 10 
E) an ​= 6n - 22

Question 8

Find the partial sum.? $\sum _ { n = 1 } ^ { 240 } - 3 n - 1$ ?

Accepted Answer

A) -87,724 
B) -86,520 
C) -86,279 
D) -87,000 
E) -87,001 
A) -87,724 
B) -86,520 
C) -86,279 
D) -87,000 
E) -87,001

Question 9

Write the first five terms of the arithmetic sequence.? $a _ { 5 } = 1 , a _ { 15 } = 21$ ?

Accepted Answer

A) -5,-3,-1,1,3 
B) -7,-14,-28,-56,-112 
C) -7,-9,-11,-13,-15 
D) -7,-5,-12,-19,-26 
E) -7,-5,-3,-1,1 
A) -5,-3,-1,1,3 
B) -7,-14,-28,-56,-112 
C) -7,-9,-11,-13,-15 
D) -7,-5,-12,-19,-26 
E) -7,-5,-3,-1,1

Question 10

The first two terms of the arithmetic sequence are given.Find the missing term. ​
A1 = 7,a2 = 11,a10 = ?
​

Accepted Answer

A) 39 
B) 31 
C) 43 
D) 47 
E) 35 
A) 39 
B) 31 
C) 43 
D) 47 
E) 35

Question 11

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​4)8,5.4,6,6.6,7.2,...
​

Accepted Answer

A) Arithmetic sequence,d = -0.6 
B) Arithmetic sequence,d = 7.2 
C) Arithmetic sequence,d = 1.2 
D) Arithmetic sequence,d = 0.6 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -0.6 
B) Arithmetic sequence,d = 7.2 
C) Arithmetic sequence,d = 1.2 
D) Arithmetic sequence,d = 0.6 
E) Not an arithmetic sequence

Question 12

Determine whether the sequence is arithmetic.If so,find the common difference. ?
7, $\frac { 13 } { 2 }$ ,6, $\frac { 11 } { 2 }$ ,5,...
?

Accepted Answer

A) Arithmetic sequence,d = -1 
B) Arithmetic sequence, $d = \frac { 3 } { 2 }$ 
C) Arithmetic sequence, $d = - \frac { 1 } { 2 }$ 
D) Arithmetic sequence,d = -2 
E) Not an arithmetic sequence 
A) Arithmetic sequence,d = -1 
B) Arithmetic sequence, $d = \frac { 3 } { 2 }$ 
C) Arithmetic sequence, $d = - \frac { 1 } { 2 }$ 
D) Arithmetic sequence,d = -2 
E) Not an arithmetic sequence

Exam 53: Arithmetic Sequences and Partial Sums

Write the first five terms of the arithmetic sequence defined recursively. ​ A1 = 206,an + 1 = an - 14 ​ ​

Determine whether the sequence is arithmetic.If so,find the common difference. 2,7,12,17,22

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​ln4,ln5,ln6,ln7,ln8,... ​

Write the first six terms of the arithmetic sequence with the given properties. ​ A​1 = 3,d = 4 ​

The first two terms of the arithmetic sequence are given.Find the missing term. ​ A1 = 2.2,a2 = 3.6,a7 = ? ​

Write the first five terms of the arithmetic sequence defined recursively.? a1=78,an+1=an−58a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }a1​=87​,an+1​=an​−85​ ? ?

Find a formula for an ​for the arithmetic sequence. ​ A1 = 16,d = 6 ​

Find the partial sum.? ∑n=1240−3n−1\sum _ { n = 1 } ^ { 240 } - 3 n - 1∑n=1240​−3n−1 ?

Write the first five terms of the arithmetic sequence.? a5=1,a15=21a _ { 5 } = 1 , a _ { 15 } = 21a5​=1,a15​=21 ?

The first two terms of the arithmetic sequence are given.Find the missing term. ​ A1 = 7,a2 = 11,a10 = ? ​

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​4)8,5.4,6,6.6,7.2,... ​

Determine whether the sequence is arithmetic.If so,find the common difference. ? 7, 132\frac { 13 } { 2 }213​ ,6, 112\frac { 11 } { 2 }211​ ,5,... ?

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

Ellipses

Hyperbolas

Rotation of Conics

Parametric Equations

Polar Coordinates

Polar Equations of Conics

Graphs of Polar Equations

Filters

Write the first five terms of the arithmetic sequence defined recursively. A₁ = 206,an_{+ 1} = a_n - 14

Determine whether the sequence is arithmetic.If so,find the common difference. ln4,ln5,ln6,ln7,ln8,...

Write the first six terms of the arithmetic sequence with the given properties. A₁ = 3,d = 4

The first two terms of the arithmetic sequence are given.Find the missing term. A₁ = 2.2,a₂ = 3.6,a₇ = ?

Write the first five terms of the arithmetic sequence defined recursively.? $a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }$ ? ?

Find a formula for a_nfor the arithmetic sequence. A₁= 16,d = 6

Find the partial sum.? $\sum _ { n = 1 } ^ { 240 } - 3 n - 1$ ?

Write the first five terms of the arithmetic sequence.? $a _ { 5 } = 1 , a _ { 15 } = 21$ ?

The first two terms of the arithmetic sequence are given.Find the missing term. A₁ = 7,a₂ = 11,a₁₀ = ?

Determine whether the sequence is arithmetic.If so,find the common difference. 4)8,5.4,6,6.6,7.2,...

Determine whether the sequence is arithmetic.If so,find the common difference. ? 7, $\frac { 13 } { 2 }$ ,6, $\frac { 11 } { 2 }$ ,5,... ?