Question 1

Use the root test to determine if the series converges or diverges.
-

Accepted Answer

A)  Converges 
B)  Diverges 
A)  Converges 
B)  Diverges

Question 2

Use the ratio test to determine if the series converges or diverges.
-

Accepted Answer

A)  Converges 
B)  Diverges 
A)  Converges 
B)  Diverges

Question 3

Find the infinite sum accurate to three decimal places.
-

Accepted Answer

A)  - 0.007 
B)  0.010 
C)  0.007 
D)  -0.010 
A)  - 0.007 
B)  0.010 
C)  0.007 
D)  -0.010

Question 4

Find the sum of the series.
-

Accepted Answer

A)  24/7 
B)  3/7 
C)  8/3 
D)  1/3 
A)  24/7 
B)  3/7 
C)  8/3 
D)  1/3

Question 5

Write the first four elements of the sequence. 
-

Accepted Answer

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

Question 6

Determine convergence or divergence of the alternating series.
-

Accepted Answer

A)  Converges 
B)  Diverges 
A)  Converges 
B)  Diverges

Question 7

Write the first four elements of the sequence. 
-

Accepted Answer

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

Question 8

Determine if the series converges absolutely, converges, or diverges.
-

Accepted Answer

A)  Converges absolutely 
B)  converges conditionally 
C)  Diverges 
A)  Converges absolutely 
B)  converges conditionally 
C)  Diverges

Question 9

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 
-  +   +   + ... +   + ...

Accepted Answer

A)  
  ; 2 
B)  
  ; 2 
C)  
  ; 2 
D)  
  ; 2 
A)  
  ; 2 
B)  
  ; 2 
C)  
  ; 2 
D)  
  ; 2

Question 10

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
-  = 1,   = 2

Accepted Answer

A)  2, 3, 4, 5, 6 
B)  1, 2, 4, 8, 16 
C)  2, 4, 8, 16, 32 
D)  1, 3, 5, 7, 9 
A)  2, 3, 4, 5, 6 
B)  1, 2, 4, 8, 16 
C)  2, 4, 8, 16, 32 
D)  1, 3, 5, 7, 9

Question 11

Find a formula for the nth term of the sequence.
-0, 2, 0, 2, 0 (alternating 0's and 2's)

Accepted Answer

A)    = 1 +   
B)    = 1 +   
C)    = 1 +   
D)    = 1 -   
A)    = 1 +   
B)    = 1 +   
C)    = 1 +   
D)    = 1 -

Question 12

Find a formula for the nth term of the sequence.
-0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)

Accepted Answer

A)    = 1 -   
B)    =   
C)    = 1 +   
D)    = 1 +   
A)    = 1 -   
B)    =   
C)    = 1 +   
D)    = 1 +

Question 13

Determine if the series converges or diverges. If the series converges, find its sum.
-

Accepted Answer

A)  converges; $\pi$ 
B)  converges; -   
C)  converges;   
D)  diverges 
A)  converges; $\pi$ 
B)  converges; -   
C)  converges;   
D)  diverges

Use the root test to determine if the series converges or diverges. -

Use the ratio test to determine if the series converges or diverges. -

Find the infinite sum accurate to three decimal places. -

Find the sum of the series. -

Write the first four elements of the sequence. -

Determine convergence or divergence of the alternating series. -

Write the first four elements of the sequence. -

Determine if the series converges absolutely, converges, or diverges. -

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. - + + + ... + + ...

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence. - = 1, = 2

Find a formula for the nth term of the sequence. -0, 2, 0, 2, 0 (alternating 0's and 2's)

Find a formula for the nth term of the sequence. -0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)

Determine if the series converges or diverges. If the series converges, find its sum. -

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Logarithmic, Exponential, and Hyperbolic Functions

Integration Techniques

Differential Equations

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

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Exam 10: Sequences and Infinite Series

Use the root test to determine if the series converges or diverges. -

Use the ratio test to determine if the series converges or diverges. -

Find the infinite sum accurate to three decimal places. -

Find the sum of the series. -

Write the first four elements of the sequence. -

Determine convergence or divergence of the alternating series. -

Write the first four elements of the sequence. -

Determine if the series converges absolutely, converges, or diverges. -

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. - + + + ... + + ...

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence. - = 1, = 2

Find a formula for the nth term of the sequence. -0, 2, 0, 2, 0 (alternating 0's and 2's)

Find a formula for the nth term of the sequence. -0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)

Determine if the series converges or diverges. If the series converges, find its sum. -

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Logarithmic, Exponential, and Hyperbolic Functions

Integration Techniques

Differential Equations

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

Filters