simplest puzzle
Umar Farooq
What (decimal number) comes next in the above (infinite) sequence (or
series)
Regards,
Umar
Pr
"Umar Farooq" <um...@scientist.com> wrote in message
news:96ae8s$jnp3g$1...@ID-59869.news.dfncis.de...
Maree Cassidy
3.14159265...
for pi to 2000 places see:
http://www-groups.dcs.st-andrews.ac.uk/~history/HistTopics/2000_places.html
Umar Farooq <um...@scientist.com> wrote in message
news:96ae8s$jnp3g$1...@ID-59869.news.dfncis.de...
Patrick Hamlyn
>3, 1, 4, 1, 5, . . . . .
>
>What (decimal number) comes next in the above (infinite) sequence (or
>series)
I agree, simple as pie.
Richard Heathfield
It's a fiendishly clever series based on modulo 6 arithmetic. You start
at 0, and then mark off every 3rd, then 4th, then 3rd, digit, over and
over. Thus, the series progresses like this:
3, 1, 4, 1, 5, 2, 5, 3, 0 and then recurs infinitely.
--
Richard Heathfield
"Usenet is a strange place." - Dennis M Ritchie, 29 July 1999.
C FAQ: http://www.eskimo.com/~scs/C-faq/top.html
K&R answers, C books, etc: http://users.powernet.co.uk/eton
Umar Farooq
news:3a88c195$1...@mercury.its.rmit.edu.au...
> This appears to be intended to represent pi... so
> 3.14159265...
This one was in my mind
Umar Farooq
"Pr" <p...@yahoo.com> wrote in message news:96afh2$7...@nntpb.cb.lucent.com...
Umar Farooq
"Patrick Hamlyn" <pa...@multipro.NOcomSPAM.au> wrote in message
news:3a88d3e2....@wa.news.telstra.net...
Yes, Pi
Joe Slater
>> 3, 1, 4, 1, 5, . . . . .
>>
>> What (decimal number) comes next in the above (infinite) sequence (or
>> series)
Richard Heathfield <bin...@eton.powernet.co.uk> wrote:
>It's a fiendishly clever series based on modulo 6 arithmetic. You start
>at 0, and then mark off every 3rd, then 4th, then 3rd, digit, over and
>over. Thus, the series progresses like this:
>
>3, 1, 4, 1, 5, 2, 5, 3, 0 and then recurs infinitely.
Very nearly:
3 1 4 2 5 3 0
jds
--
And now kind friends, what I have wrote,
I hope you will pass o'er,
And not criticize, as some have done,
Hitherto herebefore. (Julia Moore, "The Author's Early Life")
AK
1 4 1 4 2 1 . . .
1 7 3 2 0 5 . . .
2 7 1 8 2 8 . . .
1 6 1 8 0 3 . . .
AK
Ian Hill
"AK" <aulis.ke...@nokia.com> wrote in message
news:3A89176B...@nokia.com...
> OK, which are the next digits in these sequencies?
> 1 4 1 4 2 1 . . .
> 1 7 3 2 0 5 . . .
> 2 7 1 8 2 8 . . .
> 1 6 1 8 0 3 . . .
>
> AK
>
> Joe Slater wrote:
>
> > >Umar Farooq wrote:
> > >> 3, 1, 4, 1, 5, . . . . .
> > >>
> > >> What (decimal number) comes next in the above (infinite) sequence (or
> > >> series)
> >
> > Richard Heathfield <bin...@eton.powernet.co.uk> wrote:
> > >It's a fiendishly clever series based on modulo 6 arithmetic. You start
> > >at 0, and then mark off every 3rd, then 4th, then 3rd, digit, over and
> > >over. Thus, the series progresses like this:
> > >
> > >3, 1, 4, 1, 5, 2, 5, 3, 0 and then recurs infinitely.
> >
> > Very nearly:
> > 3 1 4 2 5 3 0
> >
> > jds
> 1 4 1 4 2 1 . . .
These are the first few digits of sqr(2), 1.414213562
> 1 7 3 2 0 5 . . .
sqr(3)=1.732050808
> 2 7 1 8 2 8 . . .
e = 2.718281828
> 1 6 1 8 0 3 . . .
This is the "golden ratio", (1+sqr(5))/2 = 1.618033989
(the ratio of the sides of a rectangle so that if you remove
the square of the shorter side, the remaining rectangle is
in the same proportions)
regards
Ian
Keith Engers
AK wrote:
> OK, which are the next digits in these sequencies?
> 1 4 1 4 2 1 . . .
> 1 7 3 2 0 5 . . .
> 2 7 1 8 2 8 . . .
> 1 6 1 8 0 3 . . .
>
S
P
O
I
L
E
R
S
P
A
C
E
3562 rooty toot
0808 squirty treat
1828 eesy
3989 phinished
Richard Heathfield
>
> >Umar Farooq wrote:
> >> 3, 1, 4, 1, 5, . . . . .
> >>
> >> What (decimal number) comes next in the above (infinite) sequence (or
> >> series)
>
> Richard Heathfield <bin...@eton.powernet.co.uk> wrote:
> >It's a fiendishly clever series based on modulo 6 arithmetic. You start
> >at 0, and then mark off every 3rd, then 4th, then 3rd, digit, over and
> >over. Thus, the series progresses like this:
> >
> >3, 1, 4, 1, 5, 2, 5, 3, 0 and then recurs infinitely.
>
> Very nearly:
> 3 1 4 2 5 3 0
No.
Your "correction" has gaps of 3, 4, 3, 4, 3, 4, 3...
which doesn't fit the original series.
What I said was "every 3rd, then 4th, then 3rd, digit, over and over".
In other words, the gaps are 3, 4, 3, 3, 4, 3, 3, 4, 3. Try it on my
original article and you'll see I'm not just joshing you.
Richard Heathfield
>
> "Maree Cassidy" <mareec...@hotmail.com> wrote in message
> news:3a88c195$1...@mercury.its.rmit.edu.au...
> > This appears to be intended to represent pi... so
> > 3.14159265...
> Yes!
> This one was in my mind
So, according to you elsethread, the answer is 1.
And yet, according to you in this reply, the answer is 9.
You can't have your cake and eat it. Which is it? 1 or 9? (And whichever
you say, powerful arguments can be brought to bear for just about any
other digit anyone cares to name. For example, I've "proved" that the
answer is 2, elsethread.)
Matthew Russotto
Umar Farooq <um...@scientist.com> wrote:
>3, 1, 4, 1, 5, . . . . .
>
>What (decimal number) comes next in the above (infinite) sequence (or
>series)
Valid arguments could easily be made for any given digit.
--
Matthew T. Russotto russ...@pond.com
"Extremism in defense of liberty is no vice, and moderation in pursuit
of justice is no virtue."
George Weinberg
it's well known that, in principle, it could be anything, since you
can come up with SOME formula to produce any sequence you want.
George
On Tue, 13 Feb 2001 14:24:40 +0500, "Umar Farooq" <um...@scientist.com>
wrote:
George Weinberg
Russotto) wrote:
>In article <96ae8s$jnp3g$1...@ID-59869.news.dfncis.de>,
>Umar Farooq <um...@scientist.com> wrote:
>>3, 1, 4, 1, 5, . . . . .
>>
>>What (decimal number) comes next in the above (infinite) sequence (or
>>series)
>
>Valid arguments could easily be made for any given digit.
>
Oh yea? what's the argument for your middle finger?
George
rmv2498
Richard Heathfield <bin...@eton.powernet.co.uk> wrote:
>Umar Farooq wrote:
>>
>> "Maree Cassidy" <mareec...@hotmail.com> wrote in message
>> news:3a88c195$1...@mercury.its.rmit.edu.au...
>> > This appears to be intended to represent pi... so
>> > 3.14159265...
>> Yes!
>> This one was in my mind
>
>So, according to you elsethread, the answer is 1.
>
>And yet, according to you in this reply, the answer is 9.
>
>You can't have your cake and eat it. Which is it? 1 or 9? (And whichever
>you say, powerful arguments can be brought to bear for just about any
>other digit anyone cares to name. For example, I've "proved" that the
>answer is 2, elsethread.)
I believe the response to 1 was a quip. The question was,
"Is it not 1?" and thus, the answer, "Yes", i.e., it IS NOT 1.
So, the answers are actually consistent.
--
Ryan Vurlicer
http://http.tamu.edu/~rmv2498
Benjamin Goldberg
is, what digits are next in the following infinite sequence:
1, ...
--
A solution in hand is worth two in the book.
Matthew Russotto
George Weinberg <gwei...@fastpointcom.com> wrote:
>On Tue, 13 Feb 2001 15:35:48 GMT, russ...@wanda.pond.com (Matthew
>Russotto) wrote:
>
>>In article <96ae8s$jnp3g$1...@ID-59869.news.dfncis.de>,
>>Umar Farooq <um...@scientist.com> wrote:
>>>3, 1, 4, 1, 5, . . . . .
>>>
>>>What (decimal number) comes next in the above (infinite) sequence (or
>>>series)
>>
>>Valid arguments could easily be made for any given digit.
>>
>
>Oh yea? what's the argument for your middle finger?
My upraised middle finger is an argument in and of itself.
M Ivon M
Weinberg) wrote:
>On Tue, 13 Feb 2001 15:35:48 GMT, russ...@wanda.pond.com (Matthew
>Russotto) wrote:
>
>>In article <96ae8s$jnp3g$1...@ID-59869.news.dfncis.de>,
>>Umar Farooq <um...@scientist.com> wrote:
>>>3, 1, 4, 1, 5, . . . . .
>>>
>>>What (decimal number) comes next in the above (infinite) sequence (or
>>>series)
>>
>>Valid arguments could easily be made for any given digit.
>>
>
>Oh yea? what's the argument for your middle finger?
'I don't like this stupid puzzle; therefore, middle finger.'
M Ivon M
Umar Farooq
news:50ak8ts9n3r0i0hmn...@4ax.com...
Harder puzzle is comming soon !
M Ivon M
wrote:
>"M Ivon M" <iv...@domblontje.nl> wrote in message
>Harder puzzle is comming soon !
I wasn't picking on your puzzle, I was just giving a possible argument
for the middle finger to be the next digit.
M Ivon M
Richard Heathfield
<grin> I see what you mean. But I think you are making a mistake in
ascribing to Umar Farooq a logical mindset which is inconsistent with
his earlier articles (viz. the "how many coins" thread). He seems to be
happy to accept any answer you give him to any question.
Richard Heathfield
>
> nonono, that's not the simplest possible puzzle. The simplest puzzle
> is, what digits are next in the following infinite sequence:
>
> 1, ...
2, 3, 10, 11, 12, 13...
Yep, that was pretty simple.
lee kowalkowski
"Benjamin Goldberg" <gol...@earthlink.net> wrote in message
news:3A89D67E...@earthlink.net...
Umar Farooq
Umar Farooq
news:3A8A44CC...@eton.powernet.co.uk...
> rmv2498 wrote:
> >
> > In article <3A895BDA...@eton.powernet.co.uk>,
> > Richard Heathfield <bin...@eton.powernet.co.uk> wrote:
> > >Umar Farooq wrote:
> > >>
> > >> "Maree Cassidy" <mareec...@hotmail.com> wrote in message
> > >> news:3a88c195$1...@mercury.its.rmit.edu.au...
> > >> > This appears to be intended to represent pi... so
> > >> > 3.14159265...
> > >> Yes!
> > >> This one was in my mind
> > >
> > >So, according to you elsethread, the answer is 1.
> > >
> > >And yet, according to you in this reply, the answer is 9.
> > >
> > >You can't have your cake and eat it. Which is it? 1 or 9? (And
whichever
> > >you say, powerful arguments can be brought to bear for just about any
> > >other digit anyone cares to name. For example, I've "proved" that the
> > >answer is 2, elsethread.)
> >
> > I believe the response to 1 was a quip. The question was,
> > "Is it not 1?" and thus, the answer, "Yes", i.e., it IS NOT 1.
> >
> > So, the answers are actually consistent.
>
> <grin> I see what you mean. But I think you are making a mistake in
> ascribing to Umar Farooq a logical mindset which is inconsistent with
> his earlier articles (viz. the "how many coins" thread). He seems to be
> happy to accept any answer you give him to any question.
>
There are many questions which have many valid answers
or you can say for every question there are infinite correct answers
but unfortunately our knowledge is limited, we can prove only few of them
in "simple puzzle" question
3 1 4 1 5 ... is a START of series, not a part of series (your answer 3, 1,
4, 1, 5, 2, 5, 3, 0 is thus wrong, you assumed that it starts with "0")
the limited knowledge given in this question fits to many solutions
for instance if we combine two series 3, 4, 5, 6, ..... and 1, 1, 1, 1, ....
the result is 3,1,4,1,5,1,6,........ which fits on above question
and value of Pi = 3.14159265 ..... adinfinitum ; taking only numbers we
get 3,1,4,1,5,9,2,6,5 .... which also fits on above question
similarly many other series can be shown that they fit on above sequence
Now come to the question "how many coins"
It is not mathematical puzzle, but a psychological test.
If you read the question carefuly it reads
"How do ..."
"How do you calculate ...."
"How do you calculate number of coins ...."
"How do you calculate number of coins at the bottom of the lake ..."
I was asking for a METHOD which YOU adopt to calculate the number of coins
I was NOT asking you to CALCULATE the number of coins
So every answer to that question is correct !
,
Umar
p.s: Thanks for your comments
Richard Heathfield
>
> "Richard Heathfield" <bin...@eton.powernet.co.uk> wrote in message
> news:3A8A44CC...@eton.powernet.co.uk...
> > > I believe the response to 1 was a quip. The question was,
> > > "Is it not 1?" and thus, the answer, "Yes", i.e., it IS NOT 1.
> > >
> > > So, the answers are actually consistent.
> >
> > <grin> I see what you mean. But I think you are making a mistake in
> > ascribing to Umar Farooq a logical mindset which is inconsistent with
> > his earlier articles (viz. the "how many coins" thread). He seems to be
> > happy to accept any answer you give him to any question.
> >
>
> There are many questions which have many valid answers
Such questions tend not to make good puzzles.
> or you can say for every question there are infinite correct answers
This is clearly not true. Consider this question:
"In Euclidean geometry, what is the sum, in degrees, of the three
internal angles to be found at the corners of a triangle?"
I can see how the answer 180 would be correct. I'm not seeing an
infinite number of correct answers, though. Perhaps you would care to
enlighten me?
> but unfortunately our knowledge is limited, we can prove only few of them
> in "simple puzzle" question
> 3 1 4 1 5 ... is a START of series, not a part of series (your answer 3, 1,
> 4, 1, 5, 2, 5, 3, 0 is thus wrong, you assumed that it starts with "0")
No, I assumed it started from 3.
> the limited knowledge given in this question fits to many solutions
Right. In fact, here are the possible solutions:
0 1 2 3 4 5 6 7 8 9
Any and all of these are correct. Therefore, it's a non-puzzle.
> for instance if we combine two series 3, 4, 5, 6, ..... and 1, 1, 1, 1, ....
> the result is 3,1,4,1,5,1,6,........ which fits on above question
> and value of Pi = 3.14159265 ..... adinfinitum ; taking only numbers we
> get 3,1,4,1,5,9,2,6,5 .... which also fits on above question
>
> similarly many other series can be shown that they fit on above sequence
Quite so. So it's pointless as a puzzle.
>
> Now come to the question "how many coins"
> It is not mathematical puzzle, but a psychological test.
Then it should be posted not in a puzzles newsgroup, but in a pop
psychology newsgroup.
Umar Farooq
ok then, another solution for this question !
>
> > the limited knowledge given in this question fits to many solutions
>
> Right. In fact, here are the possible solutions:
>
> 0 1 2 3 4 5 6 7 8 9
>
> Any and all of these are correct. Therefore, it's a non-puzzle.
>
if you got confused, then certainly it is a puzzle !
> > for instance if we combine two series 3, 4, 5, 6, ..... and 1, 1, 1, 1,
....
> > the result is 3,1,4,1,5,1,6,........ which fits on above question
> > and value of Pi = 3.14159265 ..... adinfinitum ; taking only numbers
we
> > get 3,1,4,1,5,9,2,6,5 .... which also fits on above question
> >
> > similarly many other series can be shown that they fit on above sequence
>
> Quite so. So it's pointless as a puzzle.
>
> >
> > Now come to the question "how many coins"
> > It is not mathematical puzzle, but a psychological test.
>
> Then it should be posted not in a puzzles newsgroup, but in a pop
> psychology newsgroup.
>
alt.brain.teasers
rec.puzzles
microsoft.public.games.zone.puzzles
and similar groups are not specifically for mathematical puzzles
these are open to any kind of "problems", "quizzes", "riddles", "questions
" or "PUZZLES" !
ma...@primrose.csv.warwick.ac.uk
No, the simplest puzzle is find the next 0 terms in the following sequence:
...
Derek Holt.
Lee
"Umar Farooq" <um...@scientist.com> wrote in message
news:96ae8s$jnp3g$1...@ID-59869.news.dfncis.de...
:
: What (decimal number) comes next in the above (infinite) sequence (or
: series)
: Regards,
: Umar
9... it's as easy as Pi
Brian Kim
3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5,0,2,8,8,4,1,
9,7........
and what is next ?
Umar Farooq <um...@scientist.com>이(가) 아래 메시지를
news:96ae8s$jnp3g$1...@ID-59869.news.dfncis.de에 게시하였습니다.
Carl G.
Umar Farooq wrote in message <96ae8s$jnp3g$1...@ID-59869.news.dfncis.de>...
>3, 1, 4, 1, 5, . . . . .
>
>What (decimal number) comes next in the above (infinite) sequence (or
>series)
>
>Regards,
>Umar
>
You must have done a web-search of past newsgroup messages! The sequence
consists of the number of letters in each word of the following message that
I posted back in 1998:
"Hey! I made a short paragraph to assist those who often memorize something
through mnemonics. Try to add comments. When making it longer, make all the
comments fit my pattern."
Surprisingly enough, your sequence also matches several of the replies to my
message!
:-)
Carl G.
Joe Slater
>"Hey! I made a short paragraph to assist those who often memorize something
>through mnemonics. Try to add comments. When making it longer, make all the
>comments fit my pattern."
Continued below.
My solution required that a full-stop replace a cipher.
Benjamin Goldberg
Wow, this is damn cool! Is your article still around [on Dejanews or
somewhere]?
Umar Farooq
"Carl G." <cgi...@microprizes.com> wrote in message
news:OAVi6.232$CG6....@newsread1.prod.itd.earthlink.net...
>
> Umar Farooq wrote in message <96ae8s$jnp3g$1...@ID-59869.news.dfncis.de>...
> >3, 1, 4, 1, 5, . . . . .
> >
> >What (decimal number) comes next in the above (infinite) sequence (or
> >series)
> >
> >Regards,
> >Umar
> >
>
> You must have done a web-search of past newsgroup messages! The sequence
> consists of the number of letters in each word of the following message
that
> I posted back in 1998:
>
But now I am eager to know about your past article about this.
Narayana Prasad Santhanam
why not 9 ?
digits of pi 3.14159... :)
Prasad
--
==============================================================================
Prasad : Punctuality Redefined As Sizable Audacious Delays
==============================================================================