a. Is mathematical induction a reasonable method for proving a statement of the form (AAninQ,n≥1)(P(n)) ? Explain.
b. After learning the method of mathematical induction, a student said: "There is something I don't understand. After showing that the statement is true for n=1, you want me to assume that P(n) is true and to show that P(n+1) is true. But: How can I assume that P(n) is true? After all, isn't that what we are trying to prove?
