Can anyhow help me with an easy solution for this
2, 7, 36, 4, 14, 225, 6, 21, ?
Ans is 576

• 2, 7, 36, 4, 14, 225, 6, 21, ?
  break in three series
  2, 4, 6 (+2)
  7,14,21 (+9)
  
  6^2, 15^2 , 24^2 (+9)
  36(6^2),225(15^2),576(24^2)
• 9 years agoHelpfull: Yes(102) No(14)
• 2, 7, 36, 4, 14, 225, 6, 21, ?
  2+7=9 and 9-3=6 and 6^2=36
  4+14=18 and 18-3=15 and 15^2=225
  6+21=27 and 27-3=24 and 24^2=576
  
• 9 years agoHelpfull: Yes(54) No(0)
• 2,4,6.....(+2)
  7,14.21....(+7)
  6*2,15*2,...(+9)
  ans: 24*2=576
  
• 9 years agoHelpfull: Yes(11) No(0)
• 6*6=36
  6+9=15
  15*15=225
  15+9=24
  24*24=576
• 9 years agoHelpfull: Yes(7) No(0)
• 2, , ,4, , ,6,... -difference is 2
  7, , , 14, , , 21.... -difference is 7
  6^2, , ,15^2, , ,24^2 ... -difference is 9
• 8 years agoHelpfull: Yes(5) No(0)
• 20^2=400
  2*3=6+1=7
  7-1=6^6=36
  4*3+2=14
  15^2=225
  6*3+3=21
  21-1=20
  20^2=400
  
  
• 9 years agoHelpfull: Yes(3) No(1)
• on dividing the entire number sequence as (2,4,6)and next (7,14,21) and next is (36,225,---).Now we need check for the logic for the third set.1st number in 3rd set is 6^2=36,next comes 15^2 ,difference between 15 and 6 is 9 and it gives 15+9=21. 21^2=576
• 8 years agoHelpfull: Yes(3) No(3)
• 2,7,36,4,14,225,6,21,?
  2+7=9 now subtract 3 from each 9-3=6 and 6^2=36
  likewise
  21+6=27 i.e 27-3=24 i.e 24^2=576
• 7 years agoHelpfull: Yes(2) No(0)
• 2,4,6 is one series(+2)
  7,14,21 is one series(+7)
  36(6*6),225(15*15),... Here the difference between 6,15 is 9,so next number should be 15+9=24 i.e is 24*24=576
  
• 8 years agoHelpfull: Yes(1) No(1)
• in this questions there are three series
  2,4,6->belongs to 1 series
  7,14,21->belongs to 1 series
  36,225,576=>6^2,15^2,24^2......(here the difference between the numbers that are to be squarred is same i.e(15-6=24-15)..
• 8 years agoHelpfull: Yes(0) No(0)
• ans:400
  2,4,6
  7,14,21
  7-1=6^2=36, 14+1=15^2=225, 21-1=20^2=400.
• 8 years agoHelpfull: Yes(0) No(6)
• 2,7,36,4,14,225,6,21
  2,4,6 are in the form as +2
  7,14,21 are in the form of 7*1=7,7*2=14,7*3=21 as +7
  now 36 is 6 square, 225 is 15 square,now 24 square is 576 as+9
• 7 years agoHelpfull: Yes(0) No(0)
• break it into 3 series...
  2,4,6 and 7,14,21 and 36,225..
  now the term to be found is in series 36,225..
  so 36=6^2, 225=15^2 ,
  24^2=576..
• 7 years agoHelpfull: Yes(0) No(1)
• Another possible solution is 1944
  2, 7, 36=9*4^1
  4=2*2, 14=7*2, 225=9*5^2
  6=2*3, 21=7*3, 1944=9*6^3 following the same pattern
• 7 years agoHelpfull: Yes(0) No(1)
• (2,7,36) 2+7=9,9-3=6,6*6=36 similarly,
  ....
  (6,21,?) 6+21=27,27-3=24,24*24=576
• 7 years agoHelpfull: Yes(0) No(0)
• (2+7)-3=6^2=36,
  (4+14)-3=15^2=225,
  (6+21)-3=24^2=576
• 7 years agoHelpfull: Yes(0) No(0)
• 2*1,7*1 , 6*6
  2*2, 7*2, 15*15
  2*3, 7*3, 24*24
• 7 years agoHelpfull: Yes(0) No(1)