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10.1-10.5 Convergence Tests #1

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

a)

converges by the geo series test

b)

converges by the nth term test

c)

diverges by the p-series test

d)

diverges by the integral test

2.

a)

converges by the p-series test

b)

converges by the nth term test

c)

diverges by the geo series test

d)

diverges by the integral test

3.

 ∑n=1∞1n\sum_{n=1}^{\infty}\frac{1}{n}  is called a ___________ series.

a)

harmonic

b)

geometric

c)

arithmetic

d)

factorial

4.

 ∑n=1∞1n\sum_{n=1}^{\infty}\frac{1}{n}  Choose all correct statements.

a)

diverges by the p-series test

b)

diverges by the integral test

c)

converges by the nth term test

d)

converges by the geo series test

5.

a)

converges by the p-series test

b)

converges by the nth term test

c)

converges by the geo series test

d)

converges by the integral test

6.

a)

converges by the p-series test

b)

diverges by the nth term test

c)

diverges by the geo series test

d)

converges by the integral test

7.

a)

converges by the p-series test

b)

converges by the nth term test

c)

diverges by the geo series test

d)

diverges by the integral test

8.

a)

converges by the p-series test

b)

converges by the nth term test

c)

diverges by the geo series test

d)

diverges by the integral test

9.

a)

converges by the integral test

b)

converges by the nth term test

c)

diverges by the geo series test

d)

diverges by the p-series test

10.

a)

diverges by the integral test

b)

converges by the nth term test

c)

converges by the geo series test

d)

diverges by the p-series test

11.

a)

diverges by the integral test

b)

converges by the nth term test

c)

converges by the geo series test

d)

diverges by the p-series test

12.

a)

A

b)

B

c)

C

d)

D

e)

E

13.

a)

A

b)

B

c)

C

d)

D

e)

E

14.

a)

A

b)

B

c)

C

d)

D

e)

E

15.

a)

A

b)

B

c)

C

d)

D

e)

E

16.

a)

A

b)

B

c)

C

d)

D

e)

E