Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#426 2012-04-20 12:48:06

anonimnystefy
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Registered: 2011-05-23
Posts: 15,522

Re: Series

I know. roflol

Last edited by anonimnystefy (2012-04-20 12:48:25)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#427 2012-04-21 03:30:32

anonimnystefy
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Posts: 15,522

Re: Series

gAr wrote:

9)



What should I get for large values of n?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#428 2012-04-21 04:51:37

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Hi;

Did not see your post in the other thread until I went back to quote something. It got buried, perhaps under a double post. What are you asking?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#429 2012-04-21 06:20:23

anonimnystefy
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Posts: 15,522

Re: Series

I remember gAr saying to see what we get for large values of n. Could you type out in M and tell me what you get?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#430 2012-04-21 09:20:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

You are not thinking Big Ohish.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#431 2012-04-21 09:43:27

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

What do you mean?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#432 2012-04-21 09:46:32

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Hi;

There is a lot of meat here. Impossible to explain in a short way. I could post a thread in computer math that would show how to do this one.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#433 2012-04-21 09:48:17

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

When could you do that?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#434 2012-04-21 09:49:20

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Half way done with it now.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#435 2012-04-21 09:50:03

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

Cool! Thanks!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#436 2012-04-21 09:52:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Do not thank me yet. It will certainly come with a lecture and a rant.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#437 2012-04-21 09:53:45

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

It was a thank for the effort.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#438 2012-04-21 20:33:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Effort done. Check the other thread.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#439 2012-04-21 23:38:03

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

I will.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#440 2012-04-22 00:01:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#441 2012-04-22 23:26:26

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

gAr wrote:

9)



hi gAr


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#442 2012-04-23 03:19:05

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi anonimnystefy,

7, 16 and 22 are correct. Very good!
I'll check 9 and 21 some other time.

Hi bobbym,

Your answers are also correct, well done!
I agree with your observation on 15. I also saw the same thing happen.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#443 2012-04-23 03:45:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,302

Re: Series

Hi gAr;

So good to see you, where have you been?

Thanks for looking at the answers.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#444 2012-04-23 04:02:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

Hi gAr

Good to see you back!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#445 2012-04-25 04:44:13

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi,

Good to see you too!
Just a little busy.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#446 2012-04-25 04:45:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

Have you checked any other sums?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#447 2012-04-25 05:03:05

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

No. I did not write the solutions, so may have rework on it.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#448 2012-04-25 05:06:14

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

Ok. I am interested mostly in the sum involving the zeta function because that is the one I first thought would be very hard,though it turned out to be easy.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#449 2012-04-25 05:10:13

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Problem 22?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#450 2012-04-25 05:11:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

Actually,I just saw you said that one is correct. My bad.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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