Exercise #4 Due Feb 24

• Sequences
  1. Find choices of parameters a and b (if possible) to create a "Fibonacci-like" sequence

     x[1] = 1
     x[2] = 1
     x[k] = a*x[1] + b*x[2], k > 2

     so that the limiting ratio of consecutive terms will be

     1. between 0 and 1
     2. exactly 3
     3. more that 4
     4. less than -1

• Fractals (Problems reference the worksheet fractal.xls)
  1. Find a choice of the parameters so that the "fern" bends left instead of right.
  2. Select a set of contractions from the "Bingo" worksheet to create your first or last initial.