Saturday, April 16, 2016

Pattern Recognition -98

Find out the next two numbers in the series.
9247235, 723512 ,51241 , 4123, _,_,........

Answer

Tn = Composition (difference between neighbor digits (Tn-1))

9     2    4    7   2   3    5
9-2 =7
4-2 = 2
7-4 =3
7-2 =5
3-2 =1
5- 3=2

Next number   723512

9            2            4            7          2         3          5
       7             2            3         5            1         2
               5            1          2           4          1
                      4           1            2          3   
                              3          1           1
                                     2          0



9247235, 723512 ,51241 , 4123, 311, 20,........


There was an excellent answer from some one at office. Actually the answer is the same but the way of pattern recognition is different.

"Hmm - I was always rather doubtful of this, and I can't now justify what I was working on yesterday evening!
 
I'll therefore guess the rather tenuous sequence: 9247235, 723512, 51241, 4123, 311, 20
 
9247235 - last 4 digits become first 4 digits of next number; 723512 - last 3 digits become first 3 digits; 51241 - last 2 digits become first two digits; 4123 - last single digit becomes first digit; 311 - no digits carried over to last number.
 
235 - difference between 2 and 3 = 1; difference between 3 and 5 = 2;  12 added to end of four digit 7235 = six digit 723512512 - difference between 5 and 1 = 4; difference between 1 and 2 = 1; 41 = five digit 51241
241 - difference between 2 and 4 = 2;  difference between 4 and 1 = 3; 23 = four digit 4123
123 - difference between 1 and 2 = 1; difference between 2 and 3 = 1; 11 = three digit 311
311 - difference between 3 and 1 = 2; difference between 1 and 1 = 0; 20 = two digit 20
 
I think however that I may have missed something rather more obvious!   "

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