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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: 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 .

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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:

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 . Source: CoolInterview.com


1
11
21
1211
111221 tells that xy means y coccurs x times abuve it. so after 111221 we get

312211. Source: CoolInterview.com

Answered by: kumar sharma | Date: | Contact kumar sharma Contact kumar sharma

1 11 21 1211 111221 next element (2211111112)

lets see how ....

First we will ignore 1 and 11

taking 11 and 21 ... keep 11 at last = __11 and then reverse 21 as 12 and keep first we will get 1211.

moving further pick last 2 number as 21 and 1211 ...... follow same procedure keep first number in last = ....21 and now 1211 will change to 1112 ...... and keep in front 111221

next number will be

taking 1112 and 111221 as previous 2 number

......1112
2211111112 (answer) next in the sequence

gagan Source: CoolInterview.com

Answered by: gagandeep singh | Date: | Contact gagandeep singh Contact gagandeep singh

Ans will be 2111121211 ,,, please see the change on number ---- 1 into 11 ,, 11 into 21,, 21 into <it is made up of 2 & 1> so 1 changes into 11, & 2 changes into 12, so on Source: CoolInterview.com

Answered by: aditya | Date: 8/19/2008 | Contact aditya Contact aditya

1
11
21
1211
111221
2111121211 will be the next sequence.eacause 1 changes into 11, 11 changes into 21 and 2 changes into 12.if 3 one come first we take 11 as 21 and 1 as 11 like that Source: CoolInterview.com

Answered by: Nikhila.T | Date: 11/1/2008 | Contact Nikhila.T Contact Nikhila.T

logic behind sequence is
1 1
2 11
3 21
4 1211
5 111221
see the sequence element 4, where 3rd one is exchanged i.e 21 becomes 12 and then 2nd element is attached to it to become 1211.
likewise 5th element is exchange of 4th elemnt i.e. 1211 becomes 1112 and then 3rd element is attached to become 111221.
we intruduce new next higher number only when number to be exchanged in upper sequence element is same.for eg in 2nd element and then in 3rd we intruduced next number 2.
so answer must be 2211111211
Source: CoolInterview.com

Answered by: jalindar | Date: 10/27/2009 | Contact jalindar Contact jalindar

Ans will be 2211111211
considering last two nos
1211 and 111221

take 1211 as it is as last no. and reverse 111221 as 221111
so ans = 2211111211 Source: CoolInterview.com

Answered by: Reshma | Date: 10/29/2009 | Contact Reshma Contact Reshma

just take the first two numbers 1&
11... we can represent 1 as 1*1...
so 1,11
take the next two
21&1211
2--->1*2--->12
1--->1*1--->11
so 21,1211
last two
111221,?
?--->111111121211

so 111111121211 this is the ans
Source: CoolInterview.com

Answered by: mohan | Date: 12/2/2009 | Contact mohan Contact mohan

My Answer is:212111211 Source: CoolInterview.com

Answered by: Savitha | Date: 5/4/2010 | Contact Savitha Contact Savitha

its 312211.. every odd digit displays de count o de successive even digit.. three ones.. two twos and two ones.. Source: CoolInterview.com

Answered by: deepak | Date: 6/1/2010 | Contact deepak Contact deepak

As multiplication of no. is considered then,
1 11 21 1211 111221
1 1 2 2 4
so for maintaining sequence-
1-1,2-2,4-4 the ans is
21111121.so
1 11 21 1211 111221 21111121
1 1 2 2 4 4
That's the smart ans ever given... Source: CoolInterview.com

Answered by: Aakanksha | Date: 6/6/2010 | Contact Aakanksha Contact Aakanksha

21221211
reason:compare 1st num wid 4th num..write d frst term as it is..then add 1 to first term nd adjoin it to the next term being framed..den adjoin 2nd term of sequence with the term framed yet..
eg: for frst tem 1 nd 4th term 1211..1211 is obtained when 1 is written as it is,then add 1 to it,we get 2 adjoin 2 to 1 we get 12 then adjoin 2nd term of seq to it..we get 1211 i.e. 4th term..similarly from 11 we get 111221..so next term in seq would b obtained from 21....as21221211 Source: CoolInterview.com

Answered by: amit thakran | Date: 8/11/2010 | Contact amit thakran Contact amit thakran

the sum of all digits result in Fibonacci series
1=1
1+1=2
2+1=3
1+2+1+1=5
1+1+1+2+2+1=8

so the ans.can be 111222211 which results in 13. Source: CoolInterview.com

Answered by: sonu | Date: 8/20/2010 | Contact sonu Contact sonu


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