Q. Find the next term
1,2,4,9,125,....

• The Series is
  1,2,4,9,125,...
  =>1^0,2^1,2^2,3^2,5^3
  Here the second term is repeated twice but the power increases
  so, the 5^3 will be repeated twice but the power will be increased
  so, the next term will be 5^4=625
  625 is the answer.
• 10 years agoHelpfull: Yes(1) No(3)
• given 1 2 4 9 125 so we write it as 1^0 2^1 2^2 3^2 5^3
  the series starts with 1^0 and 2^1 for the successive terms
  
  base for 3rd term= base of 2nd term + power of third term
  power of 3rd term= base of 2nd term
  
  similarlly
  base for 4th term= base of 3rd term + power of 2nd term
  power of 4th term= base of 3rd term
  
  so the 6th term will be
  base= base of 5th term + power of 4th term
  power= base of 5th term
  so the 6th term will be 7^5=16807
• 10 years agoHelpfull: Yes(1) No(0)
• sorry for error. the answer is here
  given 1 2 4 9 125 so we write it as 1^0 2^1 2^2 3^2 5^3
  the series starts with 1^0 and 2^1 for the successive terms
  
  base for 3rd term= base of 2nd term + power of 1st term
  power of 3rd term= base of 2nd term
  
  similarlly
  base for 4th term= base of 3rd term + power of 2nd term
  power of 4th term= base of 3rd term
  
  so the 6th term will be
  base= base of 5th term + power of 4th term
  power= base of 5th term
  so the 6th term will be 7^5=16807
• 10 years agoHelpfull: Yes(1) No(0)