Q. What is the next number in the series

3,32,405,?

• 3= 3*(1^2)
  32= 4*(2^3)
  405= 5*(3^4)
  so next is
  6*(4^5)=6144
  
• 10 years agoHelpfull: Yes(112) No(1)
• 3= 3*(1^2)
  32= 4*(2^3)
  405= 5*(3^4)
  6*(4^5)=6144
  
• 10 years agoHelpfull: Yes(5) No(0)
• 3,
  (2,3) 32
  (4,5) 405
  (6,7)617
• 10 years agoHelpfull: Yes(3) No(13)
• i think..ans is 1536
  3= 3*(1^2)
  32= 4*(2^3)
  405= 5*(3^4)
  therefore following the sequence.. 6*(4^4))= 1536
  
• 10 years agoHelpfull: Yes(2) No(24)
• @Ravi: Sorry 120-40=80;
• 10 years agoHelpfull: Yes(2) No(5)
• 3 is 2nd prime
  32 is 2nd prime + 10th prime
  405 is 2nd prime + 10th prime +74th prime
  So the pattern in 2,10,74 (for 2nd, 10th, 74th prime) is as follows
  2, 2+8, 2+8+8^2 and the next is 2+8+8^2+8^3=586 and 586th prime is 4271
  Now add 4271 to 405 to get 4676 as the correct answer.
• 10 years agoHelpfull: Yes(1) No(4)
• next term is 1122 by using gauss difference method
  
• 10 years agoHelpfull: Yes(0) No(4)
• plz explain the gauss diff method
  @Sandeep Negi
  Tq in adv
• 10 years agoHelpfull: Yes(0) No(0)
• 3*1^2 = 3
  4*2^3 = 32
  5*3^4 = 405
  6*4^5 = 6144
• 8 years agoHelpfull: Yes(0) No(2)
• ((1^2)*3)=3, ((2^3)*4)=32, ((3^4)*5)=405, ((4^5)*6)=6144
  so,
  Answer: 6144
• 7 years agoHelpfull: Yes(0) No(1)