=========================================================================== CSC 236 Tutorial Exercises for Week 2 Fall 2007 =========================================================================== A. Prove that it is possible to make every amount of postage of at least 18c using only 4c and 7c stamps. Follow the detailed format given in lecture -- in particular, define P(n) precisely. B. What is the value of SUM_{0 <= i <= n} 2^i? Make a conjecture and prove it, using the format given in lecture.