Question 1

Find the indicated partial sum of the series.   fourth partial sum

Accepted Answer

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

Question 2

Write the first six terms of the sequence defined by the function. f(n) = 9n(n - 1)

Accepted Answer

A)  0, 18, 54, 108, 180, 270 
B)  18, 54, 108, 180, 270, 756 
C)  -18, -54, 108, -180, -270, 0 
D)  -18, 0, 54, 108, 180, 270 
E)  18, 54, 108, 180, 270, 378 
A)  0, 18, 54, 108, 180, 270 
B)  18, 54, 108, 180, 270, 756 
C)  -18, -54, 108, -180, -270, 0 
D)  -18, 0, 54, 108, 180, 270 
E)  18, 54, 108, 180, 270, 378

Question 3

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Accepted Answer

A)  8 
B)  6 
C)  -2 
D)  2 
E)  not arithmetic 
A)  8 
B)  6 
C)  -2 
D)  2 
E)  not arithmetic

Question 4

Find the sum using the formulas for the sums of powers of integers.

Accepted Answer

A)  -520 
B)  -385 
C)  -1560 
D)  -135 
E)  600 
A)  -520 
B)  -385 
C)  -1560 
D)  -135 
E)  600

Question 5

The first two terms of the arithmetic sequence are given. Find the indicated term.

Accepted Answer

A)  -50 
B)  -76 
C)  -46 
D)  -64 
E)  -70 
A)  -50 
B)  -76 
C)  -46 
D)  -64 
E)  -70

Question 6

Write the first five terms of the sequence. (Assume that n begins with 1.)

Accepted Answer

A)  -15, -22, -36, -36, -43 
B)  8, 1, -6, -13, -20 
C)  1, -14, -21, -28, -35 
D)  1, -6, -13, -20, -27 
E)  1, 9, 17, 25, 33 
A)  -15, -22, -36, -36, -43 
B)  8, 1, -6, -13, -20 
C)  1, -14, -21, -28, -35 
D)  1, -6, -13, -20, -27 
E)  1, 9, 17, 25, 33

Question 7

Use the Binomial Theorem to expand and simplify the expression.

Accepted Answer

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

Question 8

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Accepted Answer

A)  -2 
B)  -1 
C)    
D)  2 
E)  not geometric 
A)  -2 
B)  -1 
C)    
D)  2 
E)  not geometric

Question 9

Use summation notation to write the sum.

Accepted Answer

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

Question 10

The probability that a basketball player will make a given free throw is   . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term   in the expansion of   . Round to four decimal places.

Accepted Answer

A)  0.0403 
B)  0.0016 
C)  0.0605 
D)  0.0010 
E)  0.1008 
A)  0.0403 
B)  0.0016 
C)  0.0605 
D)  0.0010 
E)  0.1008

Question 11

Find the indicated nth term of the geometric sequence.

Accepted Answer

A)  -327,680 
B)  -81,920 
C)  1,562,500 
D)  23 
E)  -312,500 
A)  -327,680 
B)  -81,920 
C)  1,562,500 
D)  23 
E)  -312,500

Question 12

Find Pk+1 for the given Pk.

Accepted Answer

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

Question 13

Find the rational number representation of the repeating decimal.

Accepted Answer

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

Question 14

Evaluate using a graphing utility:

Accepted Answer

A)  3003 
B)  32,760 
C)  undefined 
D)  75 
E)  360,360 
A)  3003 
B)  32,760 
C)  undefined 
D)  75 
E)  360,360

Question 15

Calculate the binomial coefficient:

Accepted Answer

A)  120 
B)  20 
C)  5 
D)  1 
E)  0 
A)  120 
B)  20 
C)  5 
D)  1 
E)  0

Question 16

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 17

Find the sum.

Accepted Answer

A)    
B)  1 
C)    
D)    
E)    
A)    
B)  1 
C)    
D)    
E)

Question 18

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 19

Find a quadratic model for the sequence with the indicated terms.

Accepted Answer

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

Question 20

Find the sum of the infinite series.

Accepted Answer

A)    
B)  3 
C)  undefined 
D)    
E)    
A)    
B)  3 
C)  undefined 
D)    
E)

Find the indicated partial sum of the series. fourth partial sum

Write the first six terms of the sequence defined by the function. f(n) = 9n(n - 1)

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Find the sum using the formulas for the sums of powers of integers.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Write the first five terms of the sequence. (Assume that n begins with 1.)

Use the Binomial Theorem to expand and simplify the expression.

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Use summation notation to write the sum.

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

Find the indicated nth term of the geometric sequence.

Find P_k₊₁ for the given P_k.

Find the rational number representation of the repeating decimal.

Evaluate using a graphing utility:

Calculate the binomial coefficient:

Use the binomial theorem to expand the binomial.

Find the sum.

Use the binomial theorem to expand the binomial.

Find a quadratic model for the sequence with the indicated terms.

Find the sum of the infinite series.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Topics in Analytic Geometry

Prerequisites

Filters

Exam 9: Sequences, Series, and Probability

Find the indicated partial sum of the series. fourth partial sum

Write the first six terms of the sequence defined by the function. f(n) = 9n(n - 1)

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Find the sum using the formulas for the sums of powers of integers.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Write the first five terms of the sequence. (Assume that n begins with 1.)

Use the Binomial Theorem to expand and simplify the expression.

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Use summation notation to write the sum.

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

Find the indicated nth term of the geometric sequence.

Find Pk+1 for the given Pk.

Find the rational number representation of the repeating decimal.

Evaluate using a graphing utility:

Calculate the binomial coefficient:

Use the binomial theorem to expand the binomial.

Find the sum.

Use the binomial theorem to expand the binomial.

Find a quadratic model for the sequence with the indicated terms.

Find the sum of the infinite series.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Topics in Analytic Geometry

Prerequisites

Filters

Find P_k₊₁ for the given P_k.