Q. What is the next number of the following sequence
4, 18, 100, 294,...?

• 4=2^2*1
  18=3^2*2
  100=5^2*4
  294=7^2*6
  series is of form n^2*(n-1) where n is prime numbers
  so next term is=11^2*10=1210
  ans 1210
• 10 years agoHelpfull: Yes(106) No(9)
• 1210
  consider prime numbers
  2^3-2^2 is 4
  3^3-3^2 is 18
  5^3-5^2 is 100
  7^3-7^2 is 294
  11^3-11^2 is 1210
• 10 years agoHelpfull: Yes(23) No(1)
• Best solution is squareing the prime number then multiply it by previous number.
  4=2^2*1
  18=3^3*2
  100=5^5*4
  294=7^7*6
  1210=11^11*10
  
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• 10 years agoHelpfull: Yes(7) No(3)
• 2*1*3*3=18
  2*2*5*5=100
  2*3*7*7=294
  2*4*9*9=648
• 8 years agoHelpfull: Yes(2) No(0)
• 4=(2*2)*1
  18=(3*3)*2
  100=(5*5)*4
  ?=(7*7)*6=294
  series is followed by prime numbers i.e, (n*n)*(n-1)
• 10 years agoHelpfull: Yes(1) No(0)
• series will be formed as n^2(n-1); whre n is prime no ......
  4= 2^2*1;
  18=3^2*2;
  100= 5^2*4;
  294=7^2*6;
  1210=11^2*10;
  so next digit will be 1210
• 9 years agoHelpfull: Yes(1) No(2)
• 2^2=4
  3^2*2=18
  5^2*4=100
  7^2*6=294
  ans 9^2*8=648
  0r if we consider prme nos 11^2*8=968
  
• 7 years agoHelpfull: Yes(1) No(2)
• 4=( 2^2)*1;
  18=(3^2)*2;
  100=( 5^2)*4;
  294=(7^2)*6;
  1210=(11^2)*10;
  so next digit will be 1210
• 7 years agoHelpfull: Yes(0) No(0)