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#101 2014-05-24 06:10:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

How do you know that it alternates?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#102 2014-05-24 06:10:49

ShivamS
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Registered: 2011-02-07
Posts: 3,648

Re: Happy Birthday, Alokananda!

Because he put that 2013 term there.

Last edited by ShivamS (2014-05-24 06:15:08)

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#103 2014-05-24 06:13:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

David has 2014 dolls. He has to choose odd number of dolls from the collection. Find the last three digits of the number which represents the total number of ways in which he could do this.

The 2014 is constant. The choice is 1,3,5,...


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#104 2014-05-24 06:13:54

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

bobbym wrote:

how do I compute the last three digits of 2014C1+2013C3+2014C5+...+2014C2013 by hand?

Your second term is 2013C3, that can not be right.

Sorry, my second term is 2014C3


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#105 2014-05-24 06:15:46

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Happy Birthday, Alokananda!

Wasted last 5 minutes. smile

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#106 2014-05-24 06:16:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

And you need a hand method?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#107 2014-05-24 06:16:29

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

I'm sorry


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#108 2014-05-24 06:17:29

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

bobbym wrote:

And you need a hand method?

I want a by-hand method because i am guaranteed that it exists.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#109 2014-05-24 06:17:34

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Happy Birthday, Alokananda!

I am getting 192 by a program.

Last edited by ShivamS (2014-05-24 06:17:54)

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#110 2014-05-24 06:19:17

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

i know that


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#111 2014-05-24 06:20:40

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Happy Birthday, Alokananda!

Well, I think it's time for me to go to sleep at 2 in the afternoon. I will try to solve it later.

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#112 2014-05-24 06:21:25

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

Thank You for your time.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#113 2014-05-24 06:21:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

Good night. I will work on it Agnishom.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#114 2014-05-24 06:25:33

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

smile


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#115 2014-05-24 06:32:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

I have the answer for you.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#116 2014-05-24 06:33:21

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Happy Birthday, Alokananda!

bobbym wrote:

Good night

Technically it is the afternoon.

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#117 2014-05-24 06:48:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

Yes, sorry. But what does it matter if you are tired.


Theorem:

https://www.proofwiki.org/wiki/Sum_of_O … efficients

So

It is known that

http://www.exploringbinary.com/patterns … rs-of-two/

and that

so 8 x 24 = 192

The last 3 digits are 192 and you are done.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

#118 2014-05-24 12:22:15

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

Wait, what has it got to do with 2^10?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#119 2014-05-24 13:35:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

2^2003 * 2^10 = 2^2013


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

#120 2014-05-24 13:39:05

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

That requires a lot of prerequisite knowledge. hmm

I just talked to Alokananda. Yay!


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#121 2014-05-24 13:46:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

All proofs require a large amount of background knowledge. That is the price you pay for no computation!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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#122 2014-05-24 19:48:31

Amrita
Member
From: Westing's House
Registered: 2014-04-30
Posts: 847

Re: Happy Birthday, Alokananda!

Happy Birthday,Alokananda.  Wish u a very happy and prosperous life ahead.


In mathematics the art of proposing a question must be held of higher value than solving it.
                                                                                                                                                                  - Georg Cantor (1845-1918)

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#123 2014-05-24 20:11:38

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

Did you like the graphics?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#124 2014-05-24 20:57:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,337

Re: Happy Birthday, Alokananda!

Did she like them?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

#125 2014-05-24 21:40:25

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,790
Website

Re: Happy Birthday, Alokananda!

I hope....


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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