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#1 2012-03-31 23:19:03

anonimnystefy
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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 23:29:15)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#2 2012-04-01 00:18:08

anonimnystefy
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Re: Find the general term!!!

I really wonder if anyone will get that one.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#3 2012-04-01 00:19:52

bob bundy
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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

#4 2012-04-01 00:22:24

anonimnystefy
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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.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#5 2012-04-01 00:37:12

gAr
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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."

#6 2012-04-01 00:52:35

anonimnystefy
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Re: Find the general term!!!

Hi gAr

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#7 2012-04-01 00:56:25

gAr
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Re: Find the general term!!!

Hi,

Thanks for the problem.

"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."

#8 2012-04-01 00:58:13

anonimnystefy
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Re: Find the general term!!!

Hi gAr

You're welcome.

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#9 2012-04-01 01:01:44

gAr
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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."

#10 2012-04-01 01:09:34

anonimnystefy
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Re: Find the general term!!!

hi gAr

Last edited by anonimnystefy (2012-04-01 01:12:21)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#11 2012-04-01 01:21:54

gAr
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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."

#12 2012-04-01 01:25:28

anonimnystefy
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Re: Find the general term!!!

hi gAr

{1/2}=1/2

{1}=0

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#13 2012-04-01 01:34:47

gAr
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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 (2012-04-01 01:35:20)

"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."

#14 2012-04-01 01:37:42

anonimnystefy
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Re: Find the general term!!!

hi gAr

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#15 2012-04-01 01:41:24

anonimnystefy
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Re: Find the general term!!!

wait a sec! i typed it out wrong.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#16 2012-04-01 01:42:39

anonimnystefy
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Re: Find the general term!!!

hi gAr

Last edited by anonimnystefy (2012-04-01 01:50:56)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#17 2012-04-01 01:43:31

gAr
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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."

#18 2012-04-01 01:44:41

anonimnystefy
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Re: Find the general term!!!

hi gAr

look at #16.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#19 2012-04-01 01:46:48

gAr
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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."

#20 2012-04-01 01:51:25

anonimnystefy
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Re: Find the general term!!!

hi gAr

I fixed the LaTeX code.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#21 2012-04-01 01:52:05

gAr
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Re: Find the general term!!!

Hi anonimnystefy,

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

Last edited by gAr (2012-04-01 01:53:07)

"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."

#22 2012-04-01 01:58:53

anonimnystefy
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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.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#23 2012-04-01 02:31:00

gAr
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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."

#24 2012-04-01 02:31:45

anonimnystefy
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Re: Find the general term!!!

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#25 2012-04-01 02:32:06

bob bundy
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Re: Find the general term!!!

hi Stefy and gAr

Haven't been looking at yours so who knows.

Here is mine: