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

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 + $\frac { 7 } { 6 }$

Find Pk+1 for the given Pk. $P _ { k } = \frac { 2 } { k ( k + 1 ) }$

A) $P _ { k + 1 } = \frac { 2 } { k ( k + 2 ) }$ B) $P _ { k + 1 } = \frac { 2 } { k ( k + 1 ) } + \frac { 2 } { ( k + 1 ) ( k + 2 ) }$ C) $P _ { k + 1 } = \frac { 4 } { ( k + 1 ) ( k + 2 ) }$ D) $P _ { k + 1 } = \frac { 2 } { ( k + 1 ) ( k + 2 ) }$ E) $P _ { k + 1 } = \frac { 2 } { k ( k + 1 ) } + 1$ A) $P _ { k + 1 } = \frac { 2 } { k ( k + 2 ) }$ B) $P _ { k + 1 } = \frac { 2 } { k ( k + 1 ) } + \frac { 2 } { ( k + 1 ) ( k + 2 ) }$ C) $P _ { k + 1 } = \frac { 4 } { ( k + 1 ) ( k + 2 ) }$ D) $P _ { k + 1 } = \frac { 2 } { ( k + 1 ) ( k + 2 ) }$ E) $P _ { k + 1 } = \frac { 2 } { k ( k + 1 ) } + 1$

Exam 9: Sequences Series and Probability

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model, a quadratic model, or neither. A₁ = 1 A_n = an _{- 1} + 2n

(Multiple Choice)

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Question 41

Calculate the binomial coefficient: $\left( \begin{array} { c } 11 \\6\end{array} \right)$

(Multiple Choice)

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Question 42

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

(Multiple Choice)

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Question 43

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

(Multiple Choice)

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Question 44

Select the first five terms of the sequence defined recursively. $a _ { 1 } = 54 , a _ { k + 1 } = a _ { k } - 2$

(Multiple Choice)

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Question 45

Find the probability for the experiment of tossing a six-sided die twice such that the sum is either 7 or 11.

(Multiple Choice)

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Question 46

Use the binomial theorem to expand the binomial. $( z - y ) ^ { 4 }$

(Multiple Choice)

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Question 47

Calculate the binomial coefficient. $7 C _ { 4 }$

(Multiple Choice)

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Question 48

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $2,6,10,14,18 , \ldots$

(Multiple Choice)

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Question 49

Write the first four terms of the geometric sequence with the given properties. a = 3, r = 2 Please enter your answer as four numbers in order, separated by commas.

(Short Answer)

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Question 50

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1.) $a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5$

(Multiple Choice)

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Question 51

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$ fourth partial sum

(Multiple Choice)

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Question 52

Use the Binomial Theorem to expand and simplify the expression. $( r + 2 ) ^ { 5 }$

(Multiple Choice)

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Question 53

Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = n ( n - 2 ) ( n - 3 )$

(Multiple Choice)

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Question 54

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) 2, 7, 12, 17, 22

(Multiple Choice)

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Question 55

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

(Multiple Choice)

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Question 56

The figure shows the results of a survey in which auto racing fans listed their favorite type of racing.What is the probability that an auto racing fan selected at random does not list NHRA drag racing as his or her favorite type of racing ( $a = 55 \%$ , $b = 15 \%$ , $c = 13 \%$ , $d = 6 \%$ ) $The figure shows the results of a survey in which auto racing fans listed their favorite type of racing.What is the probability that an auto racing fan selected at random does not list NHRA drag racing as his or her favorite type of racing ( a = 55 \% , b = 15 \% , c = 13 \% , d = 6 \% )$

(Multiple Choice)

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Question 57

Find pk_{+ 1} for the given pk. $p _ { k } = \frac { 5 } { ( k + 6 ) ( k + 5 ) }$

(Multiple Choice)

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Question 58

Find Pk₊₁ for the given P_k. $P _ { k } = \frac { 2 } { k ( k + 1 ) }$

(Multiple Choice)

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Question 59

Find the sum. $\sum _ { i = 1 } ^ { 4 } 50$

(Multiple Choice)

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Question 60

Showing 41 - 60 of 405

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model, a quadratic model, or neither. A₁ = 1 A_n = an _{- 1} + 2n

Calculate the binomial coefficient: $\left( \begin{array} { c } 11 \\6\end{array} \right)$

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

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

Select the first five terms of the sequence defined recursively. $a _ { 1 } = 54 , a _ { k + 1 } = a _ { k } - 2$

Find the probability for the experiment of tossing a six-sided die twice such that the sum is either 7 or 11.

Use the binomial theorem to expand the binomial. $( z - y ) ^ { 4 }$

Calculate the binomial coefficient. $7 C _ { 4 }$

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $2,6,10,14,18 , \ldots$

Write the first four terms of the geometric sequence with the given properties. a = 3, r = 2 Please enter your answer as four numbers in order, separated by commas.

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1.) $a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5$

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$ fourth partial sum

Use the Binomial Theorem to expand and simplify the expression. $( r + 2 ) ^ { 5 }$

Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = n ( n - 2 ) ( n - 3 )$

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) 2, 7, 12, 17, 22

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

Find pk_{+ 1} for the given pk. $p _ { k } = \frac { 5 } { ( k + 6 ) ( k + 5 ) }$

Find Pk₊₁ for the given P_k. $P _ { k } = \frac { 2 } { k ( k + 1 ) }$

Find the sum. $\sum _ { i = 1 } ^ { 4 } 50$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

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Exam 9: Sequences Series and Probability

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model, a quadratic model, or neither. A1 = 1 An = an - 1 + 2n

Calculate the binomial coefficient: (116)\left( \begin{array} { c } 11 \\6\end{array} \right)(116​)

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

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

Select the first five terms of the sequence defined recursively. a1=54,ak+1=ak−2a _ { 1 } = 54 , a _ { k + 1 } = a _ { k } - 2a1​=54,ak+1​=ak​−2

Find the probability for the experiment of tossing a six-sided die twice such that the sum is either 7 or 11.

Use the binomial theorem to expand the binomial. (z−y)4( z - y ) ^ { 4 }(z−y)4

Calculate the binomial coefficient. 7C47 C _ { 4 }7C4​

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) 2,6,10,14,18,…2,6,10,14,18 , \ldots2,6,10,14,18,…

Write the first four terms of the geometric sequence with the given properties. a = 3, r = 2 Please enter your answer as four numbers in order, separated by commas.

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1.) a1=19,ak+1=ak−5a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5a1​=19,ak+1​=ak​−5

Find the indicated partial sum of the series. ∑i=1∞4(−12)i\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }∑i=1∞​4(−21​)i fourth partial sum

Use the Binomial Theorem to expand and simplify the expression. (r+2)5( r + 2 ) ^ { 5 }(r+2)5

Select the first five terms of the sequence.(Assume that n begins with 1.) an=n(n−2)(n−3)a _ { n } = n ( n - 2 ) ( n - 3 )an​=n(n−2)(n−3)

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) 2, 7, 12, 17, 22

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

Find pk + 1 for the given pk. pk=5(k+6)(k+5)p _ { k } = \frac { 5 } { ( k + 6 ) ( k + 5 ) }pk​=(k+6)(k+5)5​

Find Pk+1 for the given Pk. Pk=2k(k+1)P _ { k } = \frac { 2 } { k ( k + 1 ) }Pk​=k(k+1)2​

Find the sum. ∑i=1450\sum _ { i = 1 } ^ { 4 } 50∑i=14​50

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model, a quadratic model, or neither. A₁ = 1 A_n = an _{- 1} + 2n

Calculate the binomial coefficient: $\left( \begin{array} { c } 11 \\6\end{array} \right)$

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

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

Select the first five terms of the sequence defined recursively. $a _ { 1 } = 54 , a _ { k + 1 } = a _ { k } - 2$

Use the binomial theorem to expand the binomial. $( z - y ) ^ { 4 }$

Calculate the binomial coefficient. $7 C _ { 4 }$

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $2,6,10,14,18 , \ldots$

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1.) $a _ { 1 } = 19 , a _ { k + 1 } = a _ { k } - 5$

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$ fourth partial sum

Use the Binomial Theorem to expand and simplify the expression. $( r + 2 ) ^ { 5 }$

Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = n ( n - 2 ) ( n - 3 )$

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

Find pk_{+ 1} for the given pk. $p _ { k } = \frac { 5 } { ( k + 6 ) ( k + 5 ) }$

Find Pk₊₁ for the given P_k. $P _ { k } = \frac { 2 } { k ( k + 1 ) }$

Find the sum. $\sum _ { i = 1 } ^ { 4 } 50$