Question 1

Write the first five terms of the geometric sequence with the given properties. $a + b i$ The 4th term is $- 3 i ( 6 - 6 i )$ .

Accepted Answer

$- 10 - 10 i$

Question 2

8, 16, 32, 64, 128, . . . is an example of a geometric sequence. The first __________ is 8 and the common ratio is 2.

Accepted Answer

term

Question 3

Find the sum. $x ^ { 2 } - 2 x = 7$

Accepted Answer

$x = 1 \pm 2 \sqrt { 2 }$

Question 4

Find the positive geometric mean between 4 and 54 .

Accepted Answer

A)  $\sqrt { 6 }$ 
B)  6 
C)  $- 16$ 
D)  $6 \sqrt { 6 }$ 
A)  $\sqrt { 6 }$ 
B)  6 
C)  $- 16$ 
D)  $6 \sqrt { 6 }$

Question 5

For the given arithmetic sequence, find the sum of the specified number of terms. The first 17 terms of $x ^ { 2 } - 2 x = 7$

Accepted Answer

The answer of For the given arithmetic sequence, find the...

Question 6

Write the first five terms of the geometric sequence with the given properties. $a _ { 1 } = 3$ , $r < 0$ The 3rd term is 48 .

$a _ { 1 } =$ __________ 
$a _ { 2 } =$ __________ 
$a _ { 3 } =$ __________ 
$a _ { 4 } =$ __________ 
$a _ { 5 } =$ __________

Accepted Answer

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

Question 7

Write the first 4 terms of the geometric sequence with $a _ { 1 } = \frac { 1 } { 5 }$ , $r > 0$ , $6 ^ { \text {th } }$ term is $\frac { 32 } { 5 }$ .

Accepted Answer

A)  $\frac { 1 } { 5 } , \frac { 2 } { 5 } , \frac { 4 } { 5 } , \frac { 8 } { 5 }$ 
B)  $\frac { 1 } { 5 } , \frac { - 2 } { 5 } , \frac { 4 } { 5 } , \frac { - 8 } { 5 }$ 
C)  $\frac { 1 } { 5 } , \frac { 2 } { 5 } , 2 , \frac { 4 } { 5 }$ 
D)  $\frac { 1 } { 5 } , \frac { - 2 } { 5 } , 2 , \frac { - 4 } { 5 }$ 
A)  $\frac { 1 } { 5 } , \frac { 2 } { 5 } , \frac { 4 } { 5 } , \frac { 8 } { 5 }$ 
B)  $\frac { 1 } { 5 } , \frac { - 2 } { 5 } , \frac { 4 } { 5 } , \frac { - 8 } { 5 }$ 
C)  $\frac { 1 } { 5 } , \frac { 2 } { 5 } , 2 , \frac { 4 } { 5 }$ 
D)  $\frac { 1 } { 5 } , \frac { - 2 } { 5 } , 2 , \frac { - 4 } { 5 }$

Question 8

John has $10,000 in a safe deposit box. Each year, he spends 12% of what is left in the box. How much will be in the box after 15 years?

Accepted Answer

The answer of John has $10,000 in a safe deposit...

Question 9

Find the common ratio of the geometric sequence with a first term $a + b i$ and a sixth term $- 3 i ( 6 - 6 i )$ .

Accepted Answer

The answer of Find the common ratio of the geometric...

Question 10

Write the first five terms of the arithmetic sequence with the following properties. $a _ { 1 } = 2$ The 6th term is 32. 
$a _ { 1 }$ = __________ 
$a _ { 2 }$ = __________ 
$a _ { 3 }$ = __________ 
$a _ { 4 }$ = __________ 
$a _ { 5 }$ = __________

Accepted Answer

2 ; 8 ; 14

Question 11

Match each sum with the corresponding summation notation.
-$\sum _ { k = 5 } ^ { 9 } k ^ { 2 }$

Accepted Answer

A)  $16 + 25 + 36 + 49 + 64$ 
B)  $25 + 36 + 49 + 64 + 81$ 
C)  $1 + 4 + 9 + 16 + 25 + 36$ 
A)  $16 + 25 + 36 + 49 + 64$ 
B)  $25 + 36 + 49 + 64 + 81$ 
C)  $1 + 4 + 9 + 16 + 25 + 36$

Question 12

Find the sum: $56 + 14 \sqrt { 2 } + 7 + \frac { 7 } { 2 \sqrt { 2 } } + \frac { 7 } { 8 \sqrt { 2 } } + \ldots$

Accepted Answer

The answer of Find the sum: \(56 + 14 \sqrt...

Question 13

In the symbol $\sum _ { k = 1 } ^ { 3 } ( 5 k - 6 )$ , k is called the __________ of summation.

Accepted Answer

The answer of In the symbol \(\sum _ { k...

Question 14

Each term of a(n) __________ sequence is found by adding the same number to the previous term.

Accepted Answer

The answer of Each term of a(n) __________ sequence is...

Question 15

8, 16, 32, 64, 128, . . . is an example of a __________ sequence. The first term is 8 and the common ratio is 2.

Accepted Answer

The answer of 8, 16, 32, 64, 128, . ....

Question 16

Insert three arithmetic means between $x ^ { 2 } - 2 x = 7$ and $x = 1 \pm 2 \sqrt { 2 }$ .

Accepted Answer

The answer of Insert three arithmetic means between \(x ^...

Question 17

Insert two arithmetic means between 20 and 30 .

Accepted Answer

A)  $\frac { 50 } { 3 } , \frac { 55 } { 3 }$ 
B)  $\frac { 38 } { 3 } , \frac { 53 } { 3 }$ 
C)  $\frac { 100 } { 9 } , \frac { 100 } { 7 }$ 
D)  $\frac { 70 } { 3 } , \frac { 80 } { 3 }$ 
A)  $\frac { 50 } { 3 } , \frac { 55 } { 3 }$ 
B)  $\frac { 38 } { 3 } , \frac { 53 } { 3 }$ 
C)  $\frac { 100 } { 9 } , \frac { 100 } { 7 }$ 
D)  $\frac { 70 } { 3 } , \frac { 80 } { 3 }$

Question 18

For the given arithmetic sequence, find the sum of the specified number of terms. The first 30 terms of $x ^ { 2 } - 2 x = 7$

Accepted Answer

The answer of For the given arithmetic sequence, find the...

Question 19

Find the sum of the infinite geometric series: $\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots$

Accepted Answer

A)  $\frac { 5 } { 2 }$ 
B)  3 
C)  sum is not possible 
D)  $\frac { 25 } { 8 }$ 
A)  $\frac { 5 } { 2 }$ 
B)  3 
C)  sum is not possible 
D)  $\frac { 25 } { 8 }$

Question 20

Find the common ratio of the geometric sequence with a first term -7 and a sixth term $- 1701$.

Accepted Answer

The answer of Find the common ratio of the geometric...

Write the first five terms of the geometric sequence with the given properties. $a + b i$ The 4th term is $- 3 i ( 6 - 6 i )$ .

8, 16, 32, 64, 128, . . . is an example of a geometric sequence. The first __________ is 8 and the common ratio is 2.

Find the sum. $x ^ { 2 } - 2 x = 7$

Find the positive geometric mean between 4 and 54 .

For the given arithmetic sequence, find the sum of the specified number of terms. The first 17 terms of $x ^ { 2 } - 2 x = 7$

Write the first five terms of the geometric sequence with the given properties. $a _ { 1 } = 3$ , $r < 0$ The 3rd term is 48 . $a _ { 1 } =$ __________ $a _ { 2 } =$ __________ $a _ { 3 } =$ __________ $a _ { 4 } =$ __________ $a _ { 5 } =$ __________

Write the first 4 terms of the geometric sequence with $a _ { 1 } = \frac { 1 } { 5 }$ , $r > 0$ , $6 ^ { \text {th } }$ term is $\frac { 32 } { 5 }$ .

John has $10,000 in a safe deposit box. Each year, he spends 12% of what is left in the box. How much will be in the box after 15 years?

Find the common ratio of the geometric sequence with a first term $a + b i$ and a sixth term $- 3 i ( 6 - 6 i )$ .

Write the first five terms of the arithmetic sequence with the following properties. $a _ { 1 } = 2$ The 6th term is 32. $a _ { 1 }$ = __________ $a _ { 2 }$ = __________ $a _ { 3 }$ = __________ $a _ { 4 }$ = __________ $a _ { 5 }$ = __________

Match each sum with the corresponding summation notation. - $\sum _ { k = 5 } ^ { 9 } k ^ { 2 }$

Find the sum: $56 + 14 \sqrt { 2 } + 7 + \frac { 7 } { 2 \sqrt { 2 } } + \frac { 7 } { 8 \sqrt { 2 } } + \ldots$

In the symbol $\sum _ { k = 1 } ^ { 3 } ( 5 k - 6 )$ , k is called the __________ of summation.

Each term of a(n) __________ sequence is found by adding the same number to the previous term.

8, 16, 32, 64, 128, . . . is an example of a __________ sequence. The first term is 8 and the common ratio is 2.

Insert three arithmetic means between $x ^ { 2 } - 2 x = 7$ and $x = 1 \pm 2 \sqrt { 2 }$ .

Insert two arithmetic means between 20 and 30 .

For the given arithmetic sequence, find the sum of the specified number of terms. The first 30 terms of $x ^ { 2 } - 2 x = 7$

Find the sum of the infinite geometric series: $\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots$

Find the common ratio of the geometric sequence with a first term -7 and a sixth term $- 1701$ .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Filters

Exam 11: Miscellaneous Topics

Write the first five terms of the geometric sequence with the given properties. a+bia + b ia+bi The 4th term is −3i(6−6i)- 3 i ( 6 - 6 i )−3i(6−6i) .

8, 16, 32, 64, 128, . . . is an example of a geometric sequence. The first __________ is 8 and the common ratio is 2.

Find the sum. x2−2x=7x ^ { 2 } - 2 x = 7x2−2x=7

Find the positive geometric mean between 4 and 54 .

For the given arithmetic sequence, find the sum of the specified number of terms. The first 17 terms of x2−2x=7x ^ { 2 } - 2 x = 7x2−2x=7

Write the first five terms of the geometric sequence with the given properties. a1=3a _ { 1 } = 3a1​=3 , r<0r < 0r<0 The 3rd term is 48 . a1=a _ { 1 } =a1​= __________ a2=a _ { 2 } =a2​= __________ a3=a _ { 3 } =a3​= __________ a4=a _ { 4 } =a4​= __________ a5=a _ { 5 } =a5​= __________

Write the first 4 terms of the geometric sequence with a1=15a _ { 1 } = \frac { 1 } { 5 }a1​=51​ , r>0r > 0r>0 , 6th 6 ^ { \text {th } }6th term is 325\frac { 32 } { 5 }532​ .

John has $10,000 in a safe deposit box. Each year, he spends 12% of what is left in the box. How much will be in the box after 15 years?

Find the common ratio of the geometric sequence with a first term a+bia + b ia+bi and a sixth term −3i(6−6i)- 3 i ( 6 - 6 i )−3i(6−6i) .

Write the first five terms of the arithmetic sequence with the following properties. a1=2a _ { 1 } = 2a1​=2 The 6th term is 32. a1a _ { 1 }a1​ = __________ a2a _ { 2 }a2​ = __________ a3a _ { 3 }a3​ = __________ a4a _ { 4 }a4​ = __________ a5a _ { 5 }a5​ = __________

Match each sum with the corresponding summation notation. - ∑k=59k2\sum _ { k = 5 } ^ { 9 } k ^ { 2 }∑k=59​k2

Find the sum: 56+142+7+722+782+…56 + 14 \sqrt { 2 } + 7 + \frac { 7 } { 2 \sqrt { 2 } } + \frac { 7 } { 8 \sqrt { 2 } } + \ldots56+142​+7+22​7​+82​7​+…

In the symbol ∑k=13(5k−6)\sum _ { k = 1 } ^ { 3 } ( 5 k - 6 )∑k=13​(5k−6) , k is called the __________ of summation.

Each term of a(n) __________ sequence is found by adding the same number to the previous term.

8, 16, 32, 64, 128, . . . is an example of a __________ sequence. The first term is 8 and the common ratio is 2.

Insert three arithmetic means between x2−2x=7x ^ { 2 } - 2 x = 7x2−2x=7 and x=1±22x = 1 \pm 2 \sqrt { 2 }x=1±22​ .

Insert two arithmetic means between 20 and 30 .

For the given arithmetic sequence, find the sum of the specified number of terms. The first 30 terms of x2−2x=7x ^ { 2 } - 2 x = 7x2−2x=7

Find the sum of the infinite geometric series: 52+12+110+150+…\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots25​+21​+101​+501​+…

Find the common ratio of the geometric sequence with a first term -7 and a sixth term −1701- 1701−1701 .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Filters

Write the first five terms of the geometric sequence with the given properties. $a + b i$ The 4th term is $- 3 i ( 6 - 6 i )$ .

Find the sum. $x ^ { 2 } - 2 x = 7$

For the given arithmetic sequence, find the sum of the specified number of terms. The first 17 terms of $x ^ { 2 } - 2 x = 7$

Write the first five terms of the geometric sequence with the given properties. $a _ { 1 } = 3$ , $r < 0$ The 3rd term is 48 . $a _ { 1 } =$ __________ $a _ { 2 } =$ __________ $a _ { 3 } =$ __________ $a _ { 4 } =$ __________ $a _ { 5 } =$ __________

Write the first 4 terms of the geometric sequence with $a _ { 1 } = \frac { 1 } { 5 }$ , $r > 0$ , $6 ^ { \text {th } }$ term is $\frac { 32 } { 5 }$ .

Find the common ratio of the geometric sequence with a first term $a + b i$ and a sixth term $- 3 i ( 6 - 6 i )$ .

Write the first five terms of the arithmetic sequence with the following properties. $a _ { 1 } = 2$ The 6th term is 32. $a _ { 1 }$ = __________ $a _ { 2 }$ = __________ $a _ { 3 }$ = __________ $a _ { 4 }$ = __________ $a _ { 5 }$ = __________

Match each sum with the corresponding summation notation. - $\sum _ { k = 5 } ^ { 9 } k ^ { 2 }$

Find the sum: $56 + 14 \sqrt { 2 } + 7 + \frac { 7 } { 2 \sqrt { 2 } } + \frac { 7 } { 8 \sqrt { 2 } } + \ldots$

In the symbol $\sum _ { k = 1 } ^ { 3 } ( 5 k - 6 )$ , k is called the __________ of summation.

Insert three arithmetic means between $x ^ { 2 } - 2 x = 7$ and $x = 1 \pm 2 \sqrt { 2 }$ .

For the given arithmetic sequence, find the sum of the specified number of terms. The first 30 terms of $x ^ { 2 } - 2 x = 7$

Find the sum of the infinite geometric series: $\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots$

Find the common ratio of the geometric sequence with a first term -7 and a sixth term $- 1701$ .