Find the Missing Number 1, 2, 4, 10, 16, 40, 64 (Successive terms are related)

a)100
b)200
c)90

• Well, the pattern looked REALLY familiar to me, like it's a binary progression.
  
  And it is...but with a twist.
  
  2^0 = 1
  
  2^1 = 2
  
  2^2 = 4
  
  2^3 = 8
  
  2^4 = 16
  
  2^5 = 32
  
  2^6 = 64
  
  You'll note that all the numbers up there match your sequence...except for 2^3 = 8 (10 in your sequence) and 2^5 = 32 (40 in your sequence).
  
  BUT, if you convert 8 to base 8, you get 10.
  
  And if you convert 32 to base 8, you get 40.
  
  Which indicates that every other number starting with the first one is expressed in base 10 and every other number starting with the second number is expressed in base 8.
  
  If this is true, then you next number would be:
  
  2^7 = 128
  
  That is the base 10 number. Since this number should be expressed in base 8 (following the pattern), it should be 200.
  
• 11 years agoHelpfull: Yes(2) No(1)
• 2^0=1
  2^1=2
  2^2=4
  2^3=8=10(base 8 )
  2^4=16
  2^5=32(base 8 =40)
  2^6=64
  2^7=128(base 8=200)
• 2 years agoHelpfull: Yes(0) No(0)