[net.puzzle] An Old One

stekas@hou2g.UUCP (J.STEKAS) (02/13/84)

Complete the series.

              110, 20, 12, 11, 10, ... 

                                                  Jim

amigo2@ihuxq.UUCP (John Hobson) (02/13/84)

>>	Complete the series.
>>
>>              110, 20, 12, 11, 10, ... 

Simple, the answer is 2, 1, 0.  What we have here is the series 
7, 6, 5, 4, 3 ... in base 3.

				John Hobson
				AT&T Bell Labs
				Naperville, IL
				(312) 979-0193
				ihnp4!ihuxq!amigo2

amigo2@ihuxq.UUCP (John Hobson) (02/14/84)

In my answer to the problem:

>>>>	Complete the series.
>>>>
>>>>            110, 20, 12, 11, 10, ... 
>>
>>	Simple, the answer is 2, 1, 0.  What we have here is the series 
>>	7, 6, 5, 4, 3 ... in base 3.

I made an error.  110 is not 7 base 3, but rather 12 base 3.  If the
original proposer of the problem says that 110 is a typo for 101,
then I will allow my answer to stand.  If it is not, then I withdraw
it.  (My thanks to Don Stanwyck for pointing this out to me.)

				John Hobson
				AT&T Bell Labs
				Naperville, IL
				(312) 979-0193
				ihnp4!ihuxq!amigo2

john@genrad.UUCP (John Nelson) (02/14/84)

>>	Complete the series.
>>
>>              110, 20, 12, 11, 10, ... 

Answer: 6, 6, 6 ...

What we REALLY have here is the number six in bases 2, 3, 4, 5, 6 ...
Once base 7 is reached, then the representation never changes.

ags@pucc-i (Seaman) (02/14/84)

The completion of the series 110, 20, 12, 11, 10 , ...

is "an infinite number of 6's".

The reason (rot13):
Gur Agu grez bs gur frevrf vf fvk rkcerffrq va onfr (A cyhf bar).
-- 

Dave Seaman
..!pur-ee!pucc-i:ags

"Against people who give vent to their loquacity 
by extraneous bombastic circumlocution."

kaufman@uiucdcs.UUCP (kaufman ) (02/15/84)

#R:hou2g:-16700:uiucdcs:40700005:000:272
uiucdcs!kaufman    Feb 14 11:07:00 1984

101 is still not 7 base 3 (21 is).  Anyway, here's a working solution (rot 13).

Rirel sbyybjvat grez vf n fvk (nq vasvavgrz).  Gur frdhrapr vf jevgr gur ahzore
fvk va onfr gjb, onfr guerr, onfr sbhe, ...

                                    Xra Xnhszna (hvhpqpf!xnhszna)

csc@watmath.UUCP (Computer Sci Club) (02/16/84)

  110, 20, 12, 11, 10, 6, 6, 6, 6, ...

                                    William Hughes