What is the next number of the following sequence.
4, 15, 40, 85, 156, ......

• 259
  no. generated in the form of n^3+n^2+n+1
• 9 years agoHelpfull: Yes(14) No(4)
• 4 15 40 85 156
  11 25 45 71
  14 20 26
  6 6
  0
  in 4 line we get 3 term also as 6 so add 6 to 26 ,we get 4 term in 3 line as 32
  now add 32 to last term in 2 line 71+32=103
  now add this 103 to 156=156+103=259
• 9 years agoHelpfull: Yes(14) No(2)
• 2*2=4
  3*5=15
  4*10=40
  5*17=85
  6*26=156
  7*37=259
  difference between 5-2=3, in next line difference between 10-5=5, third line 17-10=7 and so on..therefore for the next number, the difference should be 11. 37-26=11. answer will be 7*37=259
• 8 years agoHelpfull: Yes(10) No(0)
• 6^3+6^2+6+1=259
• 8 years agoHelpfull: Yes(1) No(1)
• Answer =261
• 9 years agoHelpfull: Yes(0) No(8)
• 259
  4 15 40 85 156 259
  11 25 45 71 103
  14 20 26 32
• 8 years agoHelpfull: Yes(0) No(0)
• 1^3 + 1^2 + 1 + 1 =====4
  
  2^3 + 2^2 + 2 + 1 ======15
  
  3^3 + 3^2 + 3 + 1 ===== 40
  
  4^3 + 4^2 + 4 + 1 =======85
  
  5^3 + 5^2 + 5 + 1====== 156
  
  6^3 + 6^2 + 6 + 1 ====== 259
• 6 years agoHelpfull: Yes(0) No(0)