Problems for Chapter 5

In Problems 1 to 10 below, use mathematical induction to prove each statement true for all positive integers n.

1. The sum of the interior angles of a convex (n + 2)-sided polygon is 180n degrees.

2. 

3. (a) 

(b) 

(c) 

(d) 

4. (a)

(b)

(c)

5.

6.

^*7.is an integral multiple of 8.

^*8. is an integral multiple of 24.

9. has x + y as a factor.
 

10.hasas a factor.
 

Saturday, April 11, 1998