find the next number in the sequence

3,10,36,99, -

• 1st term= 3 = 2^2 - 1
  2nd term= 10 = 4^2 - 6
  3rd term= 36 = 7^2 - 13
  4th term= 99 = 11^2 -22
  
  Now,we separate out the perfect squares forming the following sequence:
  
  2^2,4^2,7^2,11^2
  clearly 2+2=4
  4+3=7
  7+4=11
  So, evidently the next term of the square sequence will be :
  (11+5)^2 = 16^2 = 256 ;
  
  Now,now we separate out the subtracted terms,i.e, : 1,6,13,22
  Here also :
  6=1+5
  13=6+7
  22=13+9
  So, definitely,the next term will be :
  22+11=33.
  
  So, the next number in the given sequence will be : (16)^2 - 33 = 256-33=223
  
  So, the the next number in the sequence will be : 223 .
  
  Thanks to all.. :-):-)
• 12 years agoHelpfull: Yes(13) No(0)
• @ PARAG KAMRA :
  
  In ur solution , u haven't shown how 10 comes following ur logic...Isn't it ?? U have just omitted the 2nd term , i.e, 10.
  
  @ AKARSH:
  
  How, does ur logic substantiate the generation of the 2nd term ,i.e, 10? Why, in the 2nd term , is 9 not multiplied and from then on wards suddenly 9 gets multiplied with 1,2,3 ? Does ur logic really suit for the given sequence.Please think again and then please dont forget to share ur valuable opinion and deliver ur feedback in the given context...
  
  THANKS TO ALL....:-):-)
• 12 years agoHelpfull: Yes(6) No(0)
• 10 - 3 =7 =2³-1
  
  36-10 =26 =3³ -1
  
  99-36 = 63 =4³-1
  
  so next number is 99 + 5³ -1 = 223
• 12 years agoHelpfull: Yes(3) No(4)
• 3^1+(0)=3
  3^2+(1)=10
  3^3+(1*9)=36
  3^4+(2*9)=99
  3^5+(3*9)=270
• 12 years agoHelpfull: Yes(1) No(8)
• 1*2 +1^5=3
  10*2+2^4=36
  36*2+3^3=99
  99*2+4^2=214(ans)
  so series will look like
  3,10,36,99,214
  explanation:number increases and power of number decreases
• 12 years agoHelpfull: Yes(0) No(7)