-1,11,39,89,167,__,__

• -1,11,39,89,167,__,__
  
  -1,11,39,89,167,279,431
  2^3-3^2= -1
  3^3-4^2= 27-16=11
  ..
  ..
  6^3-7^2 = 216 -49 = 167
  7^3-8^2= 343-64 = 279
  8^3-9^2 = 512-81= 431
• 11 years agoHelpfull: Yes(7) No(0)
• this series can be further decomposed like this
  -1,11,39,89,167_,_
  11-(-1)=12
  39-(11)=28
  89-(39)=50
  167-(89)=78
  all together a new series
  12,28,50,78
  again decomposing in simpler form
  28-12=16
  50-28=22
  78-50=28
  now this series seems to be bit simpler
  16,22,28
  here we adding 6 to the preceding digit now next digit is
  28+6=34
  adding 34 in last series last digit that is 78
  we got 78+34=112
  again adding 112 in the original series we will get the answer that is
  112+167=279
  same procedure apply for next digit
  that comes 34+6=40
  adding 40 in 112=152
  and adding 152in 279=431
  (this is the concept of decomposition of awkward series into simpler one and work well in most of the situation )
• 11 years agoHelpfull: Yes(3) No(2)