Wasteland Hints

4, 2, 8, 4, 32, 16...?

  • 1 of 8: As with the last puzzle, this is a sequence of numbers.  Figure out the relationship between the numbers, and find what comes next in the sequence.
  • 2 of 8: The numbers go down and up in value.  Look at the relationship between the numbers where the next number is less than the preceding number.
  • 3 of 8: I.e., consider 4,2...8,4...32,16...
  • 4 of 8: Every second number is half the preceding number.  Now consider what happens when the numbers increase in value.  (i.e., what precedes 8 and 32).
  • 5 of 8: 8 is 4 times larger than 2.  32 is 8 times larger than 4.  So the next number that increases in value will be how many times larger than 16?  (i.e., 2x4 = 8; 4x8 = 32; 16x?=...)
  • 6 of 8: For a hint, don't look at BOTH numbers preceding a raised value.  (i.e., 4,2,8...8,4,32...)
  • 7 of 8: Each raised value is the product of the two numbers preceding it.  (Or, to say it another way, the multiple that increase the raised value doubles every time.)
  • 8 of 8: Therefore the answer is 512 (16x32 = 152)