Q1. What is the next number of the following sequence
3/7,5/21,7/43,9/73,11/111,.........

• 13/157
  numerator clearly increase by 2
  denominator (numerator * (numerator-1)) + 1
• 10 years agoHelpfull: Yes(35) No(0)
• upper side consequently odd no is coming
  so next odd no is 13
  in lower side 21-7=14
  43-21=22
  73-43=30
  111-73=38,here difference is always increases by 8
  so next difference is 46
  so next no. is 111+46=157
  so ans is 13/157
  
• 10 years agoHelpfull: Yes(10) No(0)
• 3,5,7,9,11,13 hte upper part is 13....
  ((3+1)*5)+1,((5+1)*6)+1,((7+1)*9)+1,((9+1)*11)+1,((11+1)*13)+1.....
  21 , 43 , 73 , 111 , 157 ....
  so,ans is 13/157
• 10 years agoHelpfull: Yes(3) No(1)
• 3
  3+2=5
  5+2=7
  7+2=9
  9+2=11
  3*2+1=7
  5*4+1=21
  7*6+1=43
  9*8+1=73
  11*10+1=111
  13*12+1=157
  
  so ans is 13/157
• 10 years agoHelpfull: Yes(3) No(1)
• ans is-13/157
• 10 years agoHelpfull: Yes(2) No(0)
• 3*(3-1)+1=7
  5*(5-1)+1=21
  similarly
  13*(13-1)+1=157
• 10 years agoHelpfull: Yes(1) No(0)
• Answer : 13/157
  The numerators are following odd no. pattern from 3 then 5,7,9,11,13..
  and the denominators are following the pattern in which the difference between the two consecutive nos. have a difference of 8.i.e.
  21-7 = 14 ..(1)
  43-21=22 ..(2)
  73-43=30 ..(3)
  111-73=38 ..(4)
  now lookin on the pattern 14,22,30,38 they are having a difference of 8
  so the next no. will ne 157
  because 157 - 111 = 46 and that is (38+8)
• 10 years agoHelpfull: Yes(1) No(1)
• at first taking numerators-
  3,5,7,11 are prime nos ,so next is 13.
  on obsering denominators-
  3*2+1=7,5*4+1=21......similarly 13*12+1=157.
  so,answer is 13/157.
• 10 years agoHelpfull: Yes(1) No(0)
• answer:13/157
  
  numerators: 3,3+2=5,5+2=7,7+2=9,9+2=11,11+2=13
  denominators: 7,7+14=21,21+(14+8)=43,43+(14+8+8)=73,73+(14+8+8+8)=111,111+(14+8+8+8+8)=157
  
• 10 years agoHelpfull: Yes(0) No(1)
• Ans is 13/157 because the diff between two numerator is 2 nd in denominator diff in 8
  
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerator is increasing by 2 every time
  denominator follows the relation numerator*(numerator-1) + 1
• 10 years agoHelpfull: Yes(0) No(0)
• Answer 13/157
  numerator increases by 2
  denominator increases by (numerator*(even number starting from 2))+1.
  i.e. (3*2)+1=7; (5*4)+1=21; and so on.. up to (13*12)+1=157
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  difference between any term and preceding term of numerator is =2
  and in denomeretor: 21-7=14
  43-21=22
  73-43=30
  111-73=38
  so in above 8 increases respectivly so our answer is 13/157
  
• 10 years agoHelpfull: Yes(0) No(0)
• Ans=13/157
  
• 10 years agoHelpfull: Yes(0) No(0)
• numerator is odd sequence denominator is difference is 8 and then added.13/157
• 10 years agoHelpfull: Yes(0) No(0)
• The corret answer is 13/157
  as in the numerator, we can observe a pattern of odd number series starting from 3
  and in the denominator, we can see that the difference in the digits increases by 8 after every no...like diff b/w 21&7 is 14..similarly 43-21=22 and 73-43=30 and so on...so the answer is- 13/157.
• 10 years agoHelpfull: Yes(0) No(0)
• As we can see that numerator is increasing by 2 ,so numerator becomes 13.
  1st denominator is (3*2+1),and 2nd denominator is (5*4+1) and so on...
  so denominator is numeratoa*(numerator-1)+1,so the ans is 13/157.
• 10 years agoHelpfull: Yes(0) No(1)
• 3/7,5/21,7/43,9/73,11/111,...
  as we can see that the numerators are increasing by 2,so the numerator of the next number is 13.
  for denominator, the following happens:
  7=(3*3)-2
  21=(5*5)-4
  43=(7*7)-6
  73=(9*9)-8
  111=(11*11)-10
  therefore the next number's denominator will be (13*13)-12 that is (169-12) that is 157
  Thus the number is 13/157
  
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerators are prime nos. for all the terms
  and for denominator is multiplied by even no. 4,6 ,8,10 and 1 is added to the answer
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• 3*5+6=21
  5*7+8=43
  7*9+10=73
  9*11+12=111
  11*13+14=157
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerator increased by 2
  denominator decreased by 8
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  3,5,7,9 in AP
  (3*(3-1)+1)=7,similarly (13*(13-1))+1=157
• 10 years agoHelpfull: Yes(0) No(0)
• ans is 13/157
  solution:-
  numerator increase by 2.
  and for denominator following sequence-
  3*(3-1)+1=7
  5*(5-1)+1=21
  7*(7-1)+1=43
  .......similarly
  13*(13-1)+1=157
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerator 3+2=5,5+2=7,7+2=9,9+2=11,11+2=13
  denominator:
  7+36=43
  21+52=73
  diff 52-36=16
  43+68=111
  68-52=16
  lt the required no be z/y
  68+16=84
  diff btn the required no is 84.
  therefore y=73+84=157
  z=13
  ans: 13/157
• 10 years agoHelpfull: Yes(0) No(1)
• in upper series only two's increment 3+2,5+2...
  and lower series add one in previous upper series number and multiply with lower series number and add 1 ie. (3+1)*5+1=21
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerator: numerator + 2
  denominator: (numerator*(numerator-1))+1
• 10 years agoHelpfull: Yes(0) No(0)
• ans is 13/157
  here seguence is numerator(nr) is increse by 2
  and denr is increse by (nr-1)^2+nr
• 10 years agoHelpfull: Yes(0) No(0)
• ans=13/157;
  
  oddnumber/((oddnumber*oddnumber-1)+1);
• 10 years agoHelpfull: Yes(0) No(0)
• difference between the 2 consecutive numerators is 2.....nd that of denominators is 14,22,30,38 which is an a.p. with diff. 8 thus the next term in a.p. is 46 and the deno. is 111+46=157...no. becomes 13/157
• 10 years agoHelpfull: Yes(0) No(1)
• 13/(13*12+1)=13/157
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  IN NUMERATOR ODD NUM SERIES
  IN DENOMINATOR NUM/(NUMXNUM-1)+ 1
  13/(13X12)+ 1 13/157
• 10 years agoHelpfull: Yes(0) No(0)
• 13/153.difference between the numerators is 2 so add 2 with 11 is 13.
  to add the difference between the 2 denominators with the next denominators
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157.numerator difference is 2
  denominator difference is 8
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  numerator increases by 2
  denominator's difference is increasing by 8
  that is 21-7=14
  43-21=22(14+8)
  73-43=30(22+8)
  111-73=38(30+8)
  now the difference will be 38+8=46
  that is 111+46=157
  
• 10 years agoHelpfull: Yes(0) No(1)
• the next term will be (n+2)/(((n+2)x12)+1)
  where n is the numerator of the last term. here the next term will be 13/133.
• 10 years agoHelpfull: Yes(0) No(0)
• ans.13/157
  Numerator goes 3,5,7,9,11,13....
  Denominator goes
  7+14=21
  21+14+8=43
  43+14+8+8=73
  73+14+8+8+8=111
  111+14+8+8+8+8=157
  
• 10 years agoHelpfull: Yes(0) No(0)
• 13/157
  as,1st is (7-3)=4 i.e.,2^2
  2nd is (21-5)=16 i.e.,4^2
  and so on 5th is (111-11)=100 i.e.,10^2
  so next is 13/smthing ,13 as num series is increasing by 2
  nw their diff should be 12^2=144 i.e.,x-13=144 so 157
• 10 years agoHelpfull: Yes(0) No(0)
• numeratoris just incresing by 2
  so 3,5,7,9,11,13
  and denominator 3*2+1=7
  5*4+1=21
  7*6+1=43
  9*8+1=73
  11*10+1=111
  13*12+1=157
  so next term is 13/157
• 10 years agoHelpfull: Yes(0) No(0)
• next nu is 13/157.
  numerator is increasing by 2 and denominator has a difference of 8.
• 10 years agoHelpfull: Yes(0) No(0)
• in numerator 3,5,7,9,11,..13
  
  in denominator
  
  3*2=6+1=7
  5*4=20+1=21
  7*6=42+1=43
  9*8=72+1=73
  11*10=110+1=111
  ..
  13*12=156+1=157.
  so answer is
  
  13/157
  
• 10 years agoHelpfull: Yes(0) No(0)