MT 007.02 / SL 266.01
Ideas in Mathematics: The Grammar of Numbers

1. What is 1+2+...+143+144?

    

    

   In class, we added up consecutive integers. Now, let's try adding up only odd integers.

2. What is 1+3? What is 1+3+5? What is 1+3+5+7?

    

    

3. Can you make a guess about what happens when you add up odd integers?

    

4. What is 1+3+5+7+...+983?

    

    

5. In class, we constructed one magic square containing the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9. Construct as many magic squares as you can containing those numbers.