Question 1

Evaluate the factorial expression.
-

Accepted Answer

A) 2,016 
B)    
C) 336 
D)    
A) 2,016 
B)    
C) 336 
D)

Question 2

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 3

An arithmetic sequence is given. Find the common difference and write out the first four terms.
-

Accepted Answer

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

Question 4

Express the sum using summation notation.
-3 + 12 + 27 + . . . + 108

Accepted Answer

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

Question 5

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
-2, 4, 8, 16, 32, ...

Accepted Answer

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

Question 6

Determine whether the sequence is arithmetic.
-2, -1, -4, -7, -10, ...

Accepted Answer

A) Arithmetic 
B) Not arithmetic 
A) Arithmetic 
B) Not arithmetic

Question 7

Write the word or phrase that best completes each statement or answers the question.
-Jake bought a truck by taking out a loan for $26,500 at 0.25% interest per month. Jakeʹs regular monthlypayment is $567, but he decides to pay an extra $75 toward the balance each month. His balance each monthafter making his payment, is given by the recursively defined sequence   Determine Jakeʹs balance after making the first payment. That is, determine

Accepted Answer

The answer of Write the word or phrase that best...

Question 8

Find the indicated term of the geometric sequence.
-6th term of 1, 3, 9, ...

Accepted Answer

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

Question 9

Write out the first five terms of the sequence.
-

Accepted Answer

A)    
B)    
C) s   
D)    
A)    
B)    
C) s   
D)

Question 10

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the
common difference; if it is geometric, find the common ratio.
-

Accepted Answer

A) Geometric;   
B) Arithmetic; d = 5 
C) Geometric; r = 5 
D) Neither 
A) Geometric;   
B) Arithmetic; d = 5 
C) Geometric; r = 5 
D) Neither

Question 11

The given pattern continues. Write down the nth term of the sequence   suggested by the pattern.
--1 , 1 , 3 , 5 , 7 , ...

Accepted Answer

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

Question 12

Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-

Accepted Answer

First we show that the statement is true

Question 13

An arithmetic sequence is given. Find the common difference and write out the first four terms.
-{5n + 8}

Accepted Answer

A) d = 5; 13, 18, 23, 28 
B) d = 5; 5, 13, 18, 23 
C) d = 8; 13, 18, 23, 28 
D) d = 8; 5, 13, 18, 23 
A) d = 5; 13, 18, 23, 28 
B) d = 5; 5, 13, 18, 23 
C) d = 8; 13, 18, 23, 28 
D) d = 8; 5, 13, 18, 23

Question 14

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 15

Solve.
-A brick staircase has a total of 12 steps The bottom step requires 109 bricks. Each successive step requires 5less bricks than the prior one. How many bricks are required to build the staircase?

Accepted Answer

A) 978 bricks 
B) 1,638 bricks 
C) 1,956 bricks 
D) 948 bricks 
A) 978 bricks 
B) 1,638 bricks 
C) 1,956 bricks 
D) 948 bricks

Question 16

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.
-7th term is 40; 13th term is 88

Accepted Answer

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

Question 17

The given pattern continues. Write down the nth term of the sequence   suggested by the pattern.
-

Accepted Answer

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

Question 18

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 19

Find the indicated term using the given information.
-a = 10, d = -5;

Accepted Answer

A) -25 
B) -30 
C) 45 
D) 50 
A) -25 
B) -30 
C) 45 
D) 50

Question 20

Determine whether the sequence is arithmetic.
-2, 4, 6, 10, 12, ...

Accepted Answer

A) Arithmetic 
B) Not arithmetic 
A) Arithmetic 
B) Not arithmetic

Evaluate the factorial expression. -

Write out the first five terms of the sequence. -

An arithmetic sequence is given. Find the common difference and write out the first four terms. -

Express the sum using summation notation. -3 + 12 + 27 + . . . + 108

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -2, 4, 8, 16, 32, ...

Determine whether the sequence is arithmetic. -2, -1, -4, -7, -10, ...

Find the indicated term of the geometric sequence. -6th term of 1, 3, 9, ...

Write out the first five terms of the sequence. -

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. --1 , 1 , 3 , 5 , 7 , ...

Mathematical Induction 1 Prove Statements Using Mathematical Induction Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. -

An arithmetic sequence is given. Find the common difference and write out the first four terms. -{5n + 8}

Expand the expression using the Binomial Theorem. -

Solve. -A brick staircase has a total of 12 steps The bottom step requires 109 bricks. Each successive step requires 5less bricks than the prior one. How many bricks are required to build the staircase?

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -7th term is 40; 13th term is 88

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -

Write out the first five terms of the sequence. -

Find the indicated term using the given information. -a = 10, d = -5;

Determine whether the sequence is arithmetic. -2, 4, 6, 10, 12, ...

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Exam 9: Sequences; Induction; the Binomial Theorem

Evaluate the factorial expression. -

Write out the first five terms of the sequence. -

An arithmetic sequence is given. Find the common difference and write out the first four terms. -

Express the sum using summation notation. -3 + 12 + 27 + . . . + 108

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -2, 4, 8, 16, 32, ...

Determine whether the sequence is arithmetic. -2, -1, -4, -7, -10, ...

Find the indicated term of the geometric sequence. -6th term of 1, 3, 9, ...

Write out the first five terms of the sequence. -

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. --1 , 1 , 3 , 5 , 7 , ...

Mathematical Induction 1 Prove Statements Using Mathematical Induction Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. -

An arithmetic sequence is given. Find the common difference and write out the first four terms. -{5n + 8}

Expand the expression using the Binomial Theorem. -

Solve. -A brick staircase has a total of 12 steps The bottom step requires 109 bricks. Each successive step requires 5less bricks than the prior one. How many bricks are required to build the staircase?

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -7th term is 40; 13th term is 88

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -

Write out the first five terms of the sequence. -

Find the indicated term using the given information. -a = 10, d = -5;

Determine whether the sequence is arithmetic. -2, 4, 6, 10, 12, ...

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Counting and Probability

Graphing Utilities

Filters