20 Answered Questions for the topic Infinite Series

12/01/21

#### Why isn't this series convergent?

Hello! I'm trying to solve the following series through the alternating series test:cos(n pi) / n^(1/n), with the series starting at 1 and going to infinity. I started by finding the first...
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Infinite Series Math

12/13/18

#### What is the sum of the reciprocals of this infinite series involving powers of 2 and squares?

I can't seem to find this solution online. What is the sum of the reciprocals of the infinite series 2 to the power of squares? If I'm asking that right... I mean 1/(2^(n^2)) + 1/(2^((n+1)^2)) +...
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08/02/18

#### !!!!!algebra 2 question! need help ASAP!!!!!!

Explain why we can have a converging infinite series when 0 < r < 1. Hint: Use "sum of a finite geometric series" as a basis for your explanation. ...
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Infinite Series

05/18/18

#### What is the sum of the following infinite series? 2 + 1 + 1/2 + 1/4 + 1/8...

a 3
b 6
c 5
d 4

Infinite Series Telescoping Series

04/06/18

#### Does this telescoping series converge or diverge? if it converges, what is the sum?

∑ ((n/n+1) - (n+2/n+3)) = ?
converges to -5/6
how do you cancel out the terms to find the sum?

Infinite Series

02/13/17

#### Discuss the convergence of the following series whose nth term is given below:2^n-1/3^n+1

This is in the comparison test

Infinite Series Algebra

12/29/16

#### Write 0.38 as a fraction

There's an overline on number 8 which makes it infinite.

Infinite Series

04/04/16

#### How to format a worded problem into an infinite series

You have two 1 liter containers, the first contains oil while the second contains vinegar. You also have 2 spoons, each can scoop out k liters of liquid between each vessel. That is you take a...
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02/16/16

#### If ''a'' is a convergent serie and limSn=s (x approaches infinite). Is limS(n-1)=s and why?

Does the sum changes in this case and does the limit change too?

Infinite Series Geometric Series

07/31/15

#### Does the following infinite geometric series diverge or converge? Explain. (MULTIPLE CHOICE CHOOSE ONE)

7 + 21 + 63 + 189 + . . .
a. It converges; it does not have a sum.b. It diverges; it does not have a sum.c. It diverges; it has a sum.d. It converges; it has a sum.

07/19/15

#### sequence/series question. PLEASE HELP!!!!

What is 32nd term if given the following
X Y
1 1
2 3
3 6
4 10
Please help!!!!. I can see...
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06/12/15

#### Finding sum of infinite series.

finding the sum of the following infinite series
a) 2,-4,8,-16,...
b)3,9,27,81,...
c)60,30,15,...
Final exam coming up and I'm stressing thanks so much

Infinite Series

03/11/15

#### infinite sum of 3/e^n + 2/(n(n+1))

I evaluated the first part as a geometric series and the second part with an integral test. I got r = 1/e for the first part and -2ln(2) for the integral of the second part. I'm not sure how to...
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Infinite Series

12/09/14

#### infinity series?? each one is hard for me :(

Find the sums of the following infinite series. Write your answer as a reduced fraction: 0.58 + 0.58^2 + 0.58^3 + ... Find the sums of the following infinite series. Write your answer as a...
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Infinite Series

12/09/14

#### infinity series??

Find the sums of the following infinite series. Write your answer as a reduced fraction: 0.16 + 0.16^2 + 0.16^3 + ...
Find the sums of the following infinite series. Write your answer as...
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10/27/14

#### Calc 2 Questions

Hi,
We are currently finishing our chapter on Series in class, and I am having a little trouble with the homework, especially these types of problems (error bound problems). I really do not...
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Infinite Series

08/25/14

#### I can't understand how the infinity concept plays into this.

The value of the infinite product: 2^1/5 * 4^1/25 * 8^1/125 * 16^1/625 * ... can be expressed in simplest radical form as the nth root of a to the b power. Compute n+a+b.
I got up to the point...
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Infinite Series

04/26/14

#### help finding the sum of infinite series

how do I find the sum of the following infinite series:
1. 1/2 + 1 + 2 + 4......
2. 9 - 3 + 1 - 1/3 + 1/9 .....
thanks

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