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Question |
Here is a sequence of numbers: 1 11 21 1211 111221 It seems to be a strange sequence, but yet there is a system behind it... What is the next term in this sequence? |
Answer
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Again, the system behind the sequence is that each number (except the first one of the sequence) "describes" the previous number. Now, however, the number of occurrences of each cipher is counted. So 1231 means one "2" and three times a "1", and 131221 means one "3", one "2", and two times a "1". The number following on 131221 is therefore 132231 (one "3", two times a "2", and three times a "1"). The complete sequence is as follows: 1 11 21 1211 1231 131221 132231 232221 134211 14131231 14231241 24132231 14233221 14233221 etcetera .
The next term in the sequence is 312211 because in the series the first digit specifies the number of times used and the next digit specifies the number.
Answered By: manjula Date: 5/16/2008
the next term wil be 312211 since there are 3 one's ,2 two's and one 1.in this system,each term describes te previous term.
Answered By: priya Date: 6/5/2008
Read the sequence
1 11(one 1) 21(two 1's)
^
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1211(one 2 one 1)
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111221(one1 one2 two 1's)
^
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312211(three 1's two 2's one1)
Answered By: saiprasad Date: 6/13/2008
See the previous term and hence see their reputations in their subsequent terms so in the last term we have 3ones 1 2 twos and again 1 one and here comes the answer 312211.
Answered By: DEBRAJ Date: 7/10/2008
1221111211
Answered By: mausam Date: 8/5/2008
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