Q. What is the next number of the following sequence.
2, 4, 16, 512,.....

• 2^1=2
  2^2=4
  2^4=16
  2^9=512
  the series like 1,2,4,9
  the diff are like
  2-1=1(second term-first term)
  4-2=2
  9-4=5 so diff is +2
  next diff will be 7 means 9+7=16
  so
  2^16 is 65536
  ans is 65536
  
  
• 10 years agoHelpfull: Yes(22) No(16)
• 2^1=2(2 raise to power 1 is 2).....{power hasbeen increased wd square digits,1,2,4,9,16,25..}
  
  2^4=16(2 raise to power 4 is 16)
  2^9=512(2 raise to power 9 is 512)
  2^16=65536
• 10 years agoHelpfull: Yes(17) No(1)
• 512*512=262144
• 10 years agoHelpfull: Yes(4) No(14)
• 16= 2*4*(2^1)
  512=2*4*16*(2^2)
  thus nex number would be 2*4*16*512*(2^3)= 524288
• 10 years agoHelpfull: Yes(3) No(2)
• 8192 as *2 *4 *8 nxt will be *16
  
• 10 years agoHelpfull: Yes(0) No(3)
• 2^16=(1024^4)..since power to 2 is increasing in series..1, 2, 4,.and so on..
• 10 years agoHelpfull: Yes(0) No(1)
• 262144
  2,2*2,4*4,16*16,512*512
• 6 years agoHelpfull: Yes(0) No(1)