Latest TCS Aptitude Question SOLUTION: 1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4....... what is the 2888th number in this sequence???

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(#M40024794) TCS Logical Reasoning question Keep an EYE

1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4....... what is the 2888th number in this sequence???

Asked In TCS manoj chauhan (10 years ago)

Unsolved Read Solution (15)

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Read Solution (15) :

Krishna Chaitanya Boyanapalli  (10 years ago)

let consider 1st sequence 1-1,2-2,3-3,4-4= total 10 terms
let consider 2nd sequence 1-2,2-4,3-6,4-8= total 20 terms
let consider 3rd sequence 1-3,2-6,3-9,4-12= total 30 terms
let consider 4th sequence 1-4,2-8,3-12,4-16= total 40 terms and so on...
so the series is in A.P
10,20,30,40,50,60,......
10(1+2+3+4+5+6+....n)=x where x is the near value to the given 2888th number
w.k.t sum of n terms =n(n+1)/2
10{n(n+1)/2}=x(nearer to 2888)
by trail and error method we get n=23
and we get x=2760
no.of more terms=2888-2760=128
as 23 is completed we have start with 24 digit i.e
24-1,48-2,72-3,96-4
as we add no.of 1's and 2's we get 72
as we add no.of 1's and 2's and 3's we get 144
so the required number "128" is in between 72(1's+2's) and 144((1's+2's+3's)
so the 128th number is "3".finally the 2888th number is "3"

Is this solution Helpfull? Yes (59) | No (13)  

mogalluri sri lakshmi kavya  (10 years ago)

1,22,333,4444 : 10 terms
11,2222,333333,44444444 : 20 terms
1111,22222222,333333333333,4444444444444444 : 40 terms
next 1's-8, 2's-16, 3's-24, 4's-32 total: 80 terms and so on...
10+20+40+80+160+320+640+1280=2550
next sequence will be 256 1's and 512 2's
2550+256=2806
2806+512 crosses the limit...
therefore the 2888th term will be 2

Is this solution Helpfull? Yes (55) | No (1)  

Gaurav Pal  (10 years ago)

2 will be the term

Is this solution Helpfull? Yes (14) | No (7)  

Lakshmi  (10 years ago)

3 is the answer

Is this solution Helpfull? Yes (10) | No (6)  

Ritika M  (10 years ago)

Can you explain how you got the answer ?

Is this solution Helpfull? Yes (4) | No (1)  

anamika  (10 years ago)

1 should be the ans..

Is this solution Helpfull? Yes (3) | No (5)  

ajay kumar ahirwar  (10 years ago)

1 is the ans

Is this solution Helpfull? Yes (2) | No (5)  

Nikhil kumar  (10 years ago)

what is explanation of this question??

Is this solution Helpfull? Yes (2) | No (1)  

Tanusree Mondal  (10 years ago)

what is the explanation of the answer

Is this solution Helpfull? Yes (1) | No (1)  

deevi.sriramya  (10 years ago)

chaitanya pls explain the answer

Is this solution Helpfull? Yes (1) | No (1)  

Ishan  (10 years ago)

@krishna
the number of terms doubles at each iteration..
so it is 10,20,40,80,terms and not 10,20,30,40..

Is this solution Helpfull? Yes (1) | No (1)  

dinesh  (10 years ago)

4,4,4,4,4,4,4 be

Is this solution Helpfull? Yes | No (3)  

Mitesh Patel  (10 years ago)

In the series there are 10 terms in the series 1,2,2,3,3,3,4,4,4,4.
Next will be 20 terms, followed by 40 terms, 80 terms and so on.
10+20+40+80+160+320+640 = 1270th term will end with 4.
Out of next 640*2 = 1280 terms, first 128 will be 1s, next 256 terms will be 2s, next 384 terms will be 3s and the next 512 terms will be 4s.
2320 - 1270 = 1050 which is 128+256+384+282. Hence the number will be 4.

Is this solution Helpfull? Yes | No (1)  

Guru Pranav  (10 years ago)

the 2888th number is "3"

Is this solution Helpfull? Yes | No (1)  

mayank sinha  (8 years ago)

please suggest anyone what happen if 1,2,2,3,3,3,4,4,4,4,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4.......what is the 2898th number in the sequence....its challenge and please explain he procedure too..

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