[net.puzzle] Series sol'n/con't

leung@acf4.UUCP (09/22/84)

>>What is the next number in the following series (and WHY)?

>>2  3  10  12  13  20  21

>>Thanks in advance for your erudite responses!
>>-- 
>>                           Tom Butler
>>                           ..!ihnp4!ihuxn!ttb

ok, the answer is : 2  3  10  12  13  20  21  *22*  *30*  *31*  *32* *40* 

WHY: Well, lets look at the progression of 2,3,10,12,13,20

   	You can see that the ones digit in each number goes as follows
       			2,3,0

     	when the progression is changed after 20 by the number 21
	by subtracting 1 (one) from the ones digit for non-zero numbers
        the progression is changed to: 

                     	1,2,0

	The zero digit cannot be changed as that would royally mess things
 	up (in my opinion).

Of course the whole progression could change so that the following results:

2,3,10,12,13,20,21,22,29...[now you tell me what the next number in the
		            sequence is!]

Alex Polozoff
New York University