if a series is given 1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,..... then which no will be at 2320th position?

• Let consider 1st sequence 1-1,2-2,3-3,4-4 = total 10 terms
  Similarly 2nd and 3rd sequence contain 20 terms and 30 terms.
  So the series in A.P
  10,20,30,40,....
  10(1+2+3+4+......+n)=x where x is the near value to the given 2320th term
  So 10{n(n+1)/2}=x (near to 2320)
  By trail and error method we get n = 21
  and x = 2310
  no terms = 2320-2310 = 10
  as 21 is completed 22 is started.
  So 1-22,
  So the number is 1
• 11 years agoHelpfull: Yes(18) No(18)
• no. of 1,2,3,4
  1+2+3+4=1*10=10
  2+4+6+8=2*10=20
  3+6+9+12=3*10=30
  
  now 10+20+30+......+10n=2320
  or 10[n(n+1)/2]=2320
  or n(n+1)=464
  if n=20,20*21=420
  n=21,21*22=462
  10+20+30+....+210=10*21*11=2310
  so from 2301 onwards 22 terms will be 1
  hence 2320th term=1
  ANS 1
  
• 11 years agoHelpfull: Yes(14) No(2)
• as we see the series element is doubling itself after 4 i.e 1,2,2,3,3,3,4,4,4,4 then 1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4 i.e the total no. of terms increasing are as 10,20,40,80,160,320,640,1280.........so till 640 we have sum as of 1270 terms remaing are 1050 that will b sub. frm 2320-1270 so we have to cal. 1050th term frm 1280 i.e 128(1's)+256(2's)+384(3's)+512(4's) so 128+256+384 will yield 758 i.e not 1050th term that means it falls in 512(4's) therefor ans is "4"
  
• 11 years agoHelpfull: Yes(13) No(3)
• ans-3 bcz 1 2 2 3 3 3 4 4 4 4=10...it just double in nxt step
  so we have series like this....
  10 where 1 is 1 time
  20 where 1 is 2 time
  40
  80
  160
  320
  640...
  
  
• 11 years agoHelpfull: Yes(2) No(0)
• ans=4
  1 2 2 3 3 3 4 4 4 4 =10 no.
  11222333344444=15 no.
  .
  .
  .
  ..........=5*464=2320 (implies series is just completed)
  therefor 2320th no. is 4
• 11 years agoHelpfull: Yes(1) No(2)
• the answer will be 1
  As you can see from the series that number of terms will be like
  10, 20, 30, 40 and so on
  so 2300 will be the number of terms in the 230th line
  where there will be 230 1`s
  so the 2320 term will be 1.
• 11 years agoHelpfull: Yes(1) No(1)
• solution ?
• 11 years agoHelpfull: Yes(0) No(0)
• ANS:- 1 BY MANOJ SAHU
• 11 years agoHelpfull: Yes(0) No(0)
• 10 nos in which 1 ones 2 twos ... 4 fours
  30 nos double alls
  60
  120
  240
  480
  960 till here total 1900
  the next is 1920 in same sequence with 128 1's 256 2's and 512 3's and 1024 4's
  but we need 2320 so more 400
  128+256 makes 384 So it is obvious 2320 that it lies in 512 3's.
  So the answer is 3
• 10 years agoHelpfull: Yes(0) No(0)