HW #2: due Friday Sept 4

Practice: What to do when you do not know what to do?

Question: If n² is an even number, what can you say about n? Here n represents a natural number which could be 1, 2, 3, 4, …

- is n always even?

- Is n always odd?

- Can n sometimes be even and sometimes be odd (i.e. it depends)?

a. Explore, play, try out various numbers, make a table, make a diagram/graph (if appropriate).

b. Look for a pattern

c. Once you think you have found the pattern, make a Conjecture. In the Conjecture, you should state what you think the result is.

d. Try to prove your conjecture.