3.53 Exercise 3.53
The stream defined by
(define s (cons-stream 1 (add-streams s s)))
is actually a definition of the powers of two. A proof by induction:
The first element is 1, or 2^0
Presume that the kth element of s is 2^k. The next element is 2^k + 2^k, which is equivalent to 2*(2^k) and to 2^(k+1).