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Calc 2 8.2

 

<== Calculus 2
Number Question Answer
See the work

1.

 

 

 

Consider the series
-9/11+81/121-729/1331+6561/14641+....
Determine whether the series converges,
and if it converges, determine
its value.

-0.45
The work

Point Cost: 3

2.

 

 

Consider the series
-6/1+36/1-216/1+1296/1+.....
Determine whether the series converges,
and if it converges, determine its value.

 

DNE
The work

Point Cost: 0

3.

 

Determine the sum of the following series.

sn=(-2)^(n-1)/9^n

0.0909090909091
The work

Point Cost: 3

4.

 

 

 

 

Consider the series

sn=18/9^n
Determine wether the series converges, and
if it converges, determine its value

Converges:
Value if convergent:

Converges: Y

Value: 2.25

The work

Point Cost: 3
5.

Given:

2n/(8n+7)
For both of the following answer blanks,
decide whether the given sequence or series
is convergent or divergent.

(a) The series sum_{n=1}^\infty( A_n )._____
(b) The sequence \lbrace A_n 
brace._____

a) ∞

b) 1/4

The work

Point Cost: 2
6.

Consider the series

sn=k(k+7)/(k+3)^2
Determine whether the series converges,
and if it converges, determine its value.

DNE
The work

Point Cost: 1
7.

Determine the sum of the following series.

sn=(3^n+8^n)/12^n

7/3
The work

Point Cost: 3
8.

Find if the series converges

The work

Point Cost: 1
9.

Consider the series

sn=(0.1^(n-1)-0.9^n)

Determine if the series converges,
if it converges, find the value

-7.8888889
The work

Point Cost: 4
10.

Consider the series

sn=cos(1.7)^k

Determine if the series converges,
if it converges, find the value

-0.1141389102
The work

Point Cost: 3
11.

The following series are geometric series.
Determine whether each series converges or not.
For the series which converge, enter the sum of the series.

sn=1/3^n, sn=3^n/(9^(2n+1)), sn=6^n/7^n, sn=8^n/8^(n+4), sn=(6^n+3^n)/7^n

a) Divergent

b) 1/6

c) 0.115384623

d) 3.23865056227 

e) Divergent

f) 6.75

A-C
The work

Point Cost: 6


D-F
The work

Point Cost: 6
12.

Find the value of x so that the series below
converges

sn=x^n/4^n
Give your answer in interval notation.
(__,__)

(-4, 4)
The work

Point Cost: 3
13.

Find the value of x so that the series below
converges

(x+9)^n/4^n
Give your answer in interval notation.
(__,__)

(-13,-5)
The work

Point Cost: 3