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#1 2012-03-31 00:19:03

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Find the general term!!!

Hi guys

find the one equality general term formula for the sequence:

3,6,8,16,18,36,38,76,78,...

The general term formula must not be defined partially,but must contain only one equality.

Last edited by anonimnystefy (2012-03-31 00:29:15)


“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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#2 2012-03-31 01:18:08

anonimnystefy
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Re: Find the general term!!!

I really wonder if anyone will get that one.


“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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#3 2012-03-31 01:19:52

bob bundy
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Registered: 2010-06-20
Posts: 6,122

Re: Find the general term!!!

OK OK, only just got in.  I'm working on it.

Would the next two terms be

156, 158   ?

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2012-03-31 01:22:24

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

Yes,those are the next two terms.

The term are gained by repeatedly multiplying by 2 and the adding 2.


“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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#5 2012-03-31 01:37:12

gAr
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Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi anonimnystefy,


"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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#6 2012-03-31 01:52:35

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

Hi gAr

Nice work.Congrats also for showing me that there is another formula.


“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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#7 2012-03-31 01:56:25

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi,

Thanks for the problem.
What's your formula?


"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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#8 2012-03-31 01:58:13

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

Hi gAr

You're welcome.

Iwill post my formula in a few mintes,so stay put.


“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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#9 2012-03-31 02:01:44

gAr
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Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Okay...


"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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#10 2012-03-31 02:09:34

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

Last edited by anonimnystefy (2012-03-31 02:12:21)


“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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#11 2012-03-31 02:21:54

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi,

I'm getting a(1) = 12 for your formula?


"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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#12 2012-03-31 02:25:28

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

{1/2}=1/2

{1}=0


“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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#13 2012-03-31 02:34:47

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Oh, okay.
Now I'm getting a(2) = 2*(5√2 - 2)*(1)

Did I substitute for n correctly?

Last edited by gAr (2012-03-31 02:35:20)


"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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#14 2012-03-31 02:37:42

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

if I remember correctly (1-1)/2=0


“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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#15 2012-03-31 02:41:24

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

wait a sec! i typed it out wrong.


“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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#16 2012-03-31 02:42:39

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

Last edited by anonimnystefy (2012-03-31 02:50:56)


“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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#17 2012-03-31 02:43:31

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi,

I thought that was (2-1)/2 = 1/2
and hence 2*(5*2^(1/2)-2)*1 ?


"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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#18 2012-03-31 02:44:41

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

look at #16.


“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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#19 2012-03-31 02:46:48

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi,

Looking at it...
Meanwhile, there's some problem with the LaTeX code, can you correct 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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#20 2012-03-31 02:51:25

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

I fixed the LaTeX code.


“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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#21 2012-03-31 02:52:05

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi anonimnystefy,

The formula's correct now.
Thanks.
LaTeX code's also fine, thanks.

Last edited by gAr (2012-03-31 02:53:07)


"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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#22 2012-03-31 02:58:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

hi gAr

Thank you as well for your formula.Your seems better because it doesn't use the {a} "function".

Who knows,maybe bob finds a third one. smile


“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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#23 2012-03-31 03:31:00

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Find the general term!!!

Hi anonimnystefy,

You're welcome.
I just combined two recurrences for odd and even terms, and the CAS derived the closed form for me.


"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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#24 2012-03-31 03:31:45

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,845

Re: Find the general term!!!

cool.I wonder if anything can be done using G.F.'s?


“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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#25 2012-03-31 03:32:06

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,122

Re: Find the general term!!!

hi Stefy and gAr

Haven't been looking at yours so who knows. 

Here is mine:

Please don't ask me to simplify it.  Sob and tears.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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