For Exercises 52–62, refer to the following. Call a sequence musical if repeatedly applying deflation to it eventually results in a single .

Question 20.90

image 60. (For students who have covered Chapter 19.) From Exercise 53, we know that each application of inflation to a musical sequence simply extends it. By successive inflation, then, we can build an infinite sequence. Argue that as we approach this limiting sequence, the ratio of s to s tends toward the golden ratio φ of page 780.