Question 1

Determine whether the expression is a partial sum of a arithmetic or geometric sequence. Then find the sum. $2.1 + 2.7 + 3.3 + \dots + 13.5$

Accepted Answer

The answer of Determine whether the expression is a partial...

Question 2

Write the sum using sigma notation. $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 1000 \cdot 1001 }$

Accepted Answer

The answer of Write the sum using sigma notation. \(\frac...

Question 3

A man gets a job with a salary of $50,000 a year. He is promised an $1800 raise each subsequent year. Find his total earnings for a 10-year period.

Accepted Answer

The answer of A man gets a job with a...

Question 4

Expand the expression. $( 1 - x y ) ^ { 4 }$

Accepted Answer

A)  $4 - x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$ 
B)  $1 - x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + 4 x ^ { 4 } y ^ { 4 }$ 
C)  $1 - 4 x y + 4 x ^ { 2 } y ^ { 2 } - 6 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$ 
D)  $4 - 4 x y + x ^ { 2 } y ^ { 2 } - x ^ { 3 } y ^ { 3 } + 4 x ^ { 4 } y ^ { 4 }$ 
E)  $1 - 4 x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$ 
A)  $4 - x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$ 
B)  $1 - x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + 4 x ^ { 4 } y ^ { 4 }$ 
C)  $1 - 4 x y + 4 x ^ { 2 } y ^ { 2 } - 6 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$ 
D)  $4 - 4 x y + x ^ { 2 } y ^ { 2 } - x ^ { 3 } y ^ { 3 } + 4 x ^ { 4 } y ^ { 4 }$ 
E)  $1 - 4 x y + 6 x ^ { 2 } y ^ { 2 } - 4 x ^ { 3 } y ^ { 3 } + x ^ { 4 } y ^ { 4 }$

Question 5

Find the first five terms of the sequence $a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3$ 
.

Accepted Answer

The answer of Find the first five terms of the...

Question 6

Find the fourth term and the $n ^ { t h }$ term of the geometric sequence given $a _ { 1 } = 7$ and $\boldsymbol { r } = \frac { 1 } { 7 }$

Accepted Answer

The answer of Find the fourth term and the \(n...

Determine whether the expression is a partial sum of a arithmetic or geometric sequence. Then find the sum. $2.1 + 2.7 + 3.3 + \dots + 13.5$

Write the sum using sigma notation. $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 1000 \cdot 1001 }$

A man gets a job with a salary of $50,000 a year. He is promised an $1800 raise each subsequent year. Find his total earnings for a 10-year period.

Expand the expression. $( 1 - x y ) ^ { 4 }$

Find the first five terms of the sequence $a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3$ .

Find the fourth term and the $n ^ { t h }$ term of the geometric sequence given $a _ { 1 } = 7$ and $\boldsymbol { r } = \frac { 1 } { 7 }$

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Counting and Probability

Filters

Exam 13: Sequences and Series

Determine whether the expression is a partial sum of a arithmetic or geometric sequence. Then find the sum. 2.1+2.7+3.3+⋯+13.52.1 + 2.7 + 3.3 + \dots + 13.52.1+2.7+3.3+⋯+13.5

Write the sum using sigma notation. 11⋅2+12⋅3+13⋅4+…+11000⋅1001\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 1000 \cdot 1001 }1⋅21​+2⋅31​+3⋅41​+…+1000⋅10011​

A man gets a job with a salary of $50,000 a year. He is promised an $1800 raise each subsequent year. Find his total earnings for a 10-year period.

Expand the expression. (1−xy)4( 1 - x y ) ^ { 4 }(1−xy)4

Find the first five terms of the sequence an=3an−1−1, where a1=3a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3an​=3an−1​−1, where a1​=3 .

Find the fourth term and the nthn ^ { t h }nth term of the geometric sequence given a1=7a _ { 1 } = 7a1​=7 and r=17\boldsymbol { r } = \frac { 1 } { 7 }r=71​

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Counting and Probability

Filters

Determine whether the expression is a partial sum of a arithmetic or geometric sequence. Then find the sum. $2.1 + 2.7 + 3.3 + \dots + 13.5$

Write the sum using sigma notation. $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 1000 \cdot 1001 }$

Expand the expression. $( 1 - x y ) ^ { 4 }$

Find the first five terms of the sequence $a _ { n } = 3 a _ { n - 1 } - 1 , \text { where } a _ { 1 } = 3$ .

Find the fourth term and the $n ^ { t h }$ term of the geometric sequence given $a _ { 1 } = 7$ and $\boldsymbol { r } = \frac { 1 } { 7 }$