What is the next number in this series?

6, 14, 36, 98, 276, ...

• Next number is 794
  each term = 1^n +2^n+3^n
  For n=1
  1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
  for n=2, 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
  
  ..
  For n=6, 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.
  
  so 6, 14, 36, 98, 276, 794
• 12 years agoHelpfull: Yes(3) No(2)
• Next number is 794
  
  First term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
  Second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
  ..
  ..
  Sixth term is 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.
  
  Final series : 6, 14, 36, 98, 276, 794
• 12 years agoHelpfull: Yes(2) No(3)
• Ans 794
  6*3-4=14
  14*3-6=36
  36*3-10=98
  98*3-18=276
  276*3-34=794
• 12 years agoHelpfull: Yes(2) No(2)
• consider difference (6,14)=8
  (14,36)=22(8*3-2)
  (36,98)=62(22*3-4)
  (98,276)=178(62*3-8)
  so the next number would be 178*3-16=518
• 12 years agoHelpfull: Yes(0) No(1)