Question 1

Find the indicated term using the given information.
-a 10 = -10, a17 = -24;

Accepted Answer

A) 4 
B) 2 
C) -2 
D) 8 
A) 4 
B) 2 
C) -2 
D) 8

Question 2

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 3

Find the sum of the sequence.
-

Accepted Answer

A) -8 
B) 40 
C) -40 
D) 256 
A) -8 
B) 40 
C) -40 
D) 256

Question 4

The given pattern continues. Write down the nth term of the sequence   suggested by the pattern.
-6 , 14, 22, 30, 38, ...

Accepted Answer

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

Question 5

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
-

Accepted Answer

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

Question 6

Solve.
-Jack decided to put $600 into an IRA account every 3 months at a rate of 6% compounded quarterly. Find arecursive formula that represents his balance at the end of each quarter. How long will it be before thevalue of the account is $100,000? What will be the balance in 30 years when Jack retires?

Accepted Answer

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

Question 7

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.
-8th term is 28; 13th term is -2

Accepted Answer

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

Question 8

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.
-9th term is -14; 14th term is -29

Accepted Answer

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

Question 9

Write out the sum.
-

Accepted Answer

A) 1 + 3 + 5 + ... + (2n - 1) 
B) 3 + 5 + 7 + ... + (2n - 1) 
C) 1 + 3 + 5 + ... + (2n + 1) 
D) 3 + 5 +7+ ... + (2n + 1) 
A) 1 + 3 + 5 + ... + (2n - 1) 
B) 3 + 5 + 7 + ... + (2n - 1) 
C) 1 + 3 + 5 + ... + (2n + 1) 
D) 3 + 5 +7+ ... + (2n + 1)

Question 10

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 11

Find the sum of the sequence.
-

Accepted Answer

A) 64 
B) 54 
C) 66 
D) 34 
A) 64 
B) 54 
C) 66 
D) 34

Question 12

Find the sum of the sequence.
-

Accepted Answer

A) 26 
B) 15 
C) 0 
D) -12 
A) 26 
B) 15 
C) 0 
D) -12

Question 13

Express the sum using summation notation.
-3 + 6 + 9 + ... + 21

Accepted Answer

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

Question 14

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference,
d, are given.
-

Accepted Answer

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

Question 15

Find the sum.
-

Accepted Answer

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

Question 16

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.
-3, 5, 7, 11, 13, ...

Accepted Answer

A) Geometric; r = 2 
B) Arithmetic; d = 2 
C) Arithmetic; d = 4 
D) Neither 
A) Geometric; r = 2 
B) Arithmetic; d = 2 
C) Arithmetic; d = 4 
D) Neither

Question 17

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
--6, -12, -24, -48, -96, ...

Accepted Answer

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

Question 18

Use the Binomial Theorem to find the indicated coefficient or term.
-The 3rd term in the expansion of

Accepted Answer

A) 300x 
B)    
C) 25 
D) 600x 
A) 300x 
B)    
C) 25 
D) 600x

Question 19

Find the indicated term using the given information.
-a = 4 , d = -1;

Accepted Answer

A) -30 
B) -31 
C) 38 
D) 39 
A) -30 
B) -31 
C) 38 
D) 39

Question 20

Find the sum.
--3 + 1 + 5 + 9 + 13 + ... + (4n - 7)

Accepted Answer

A) n(2n - 5) 
B) n(4n - 7) 
C) n(2n + 5) 
D) n(4n + 7) 
A) n(2n - 5) 
B) n(4n - 7) 
C) n(2n + 5) 
D) n(4n + 7)

Find the indicated term using the given information. -a 10 = -10, a17 = -24;

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -6 , 14, 22, 30, 38, ...

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -8th term is 28; 13th term is -2

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -9th term is -14; 14th term is -29

Write out the sum. -

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

Find the sum of the sequence. -

Express the sum using summation notation. -3 + 6 + 9 + ... + 21

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. -

Find the sum. -

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. -3, 5, 7, 11, 13, ...

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. --6, -12, -24, -48, -96, ...

Use the Binomial Theorem to find the indicated coefficient or term. -The 3rd term in the expansion of

Find the indicated term using the given information. -a = 4 , d = -1;

Find the sum. --3 + 1 + 5 + 9 + 13 + ... + (4n - 7)

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Exam 9: Sequences; Induction; the Binomial Theorem

Find the indicated term using the given information. -a 10 = -10, a17 = -24;

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -6 , 14, 22, 30, 38, ...

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -8th term is 28; 13th term is -2

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. -9th term is -14; 14th term is -29

Write out the sum. -

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

Find the sum of the sequence. -

Express the sum using summation notation. -3 + 6 + 9 + ... + 21

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. -

Find the sum. -

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. -3, 5, 7, 11, 13, ...

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. --6, -12, -24, -48, -96, ...

Use the Binomial Theorem to find the indicated coefficient or term. -The 3rd term in the expansion of

Find the indicated term using the given information. -a = 4 , d = -1;

Find the sum. --3 + 1 + 5 + 9 + 13 + ... + (4n - 7)

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