**First Midterm**

The problem numbers are links. Click on the problem number to see a complete worked solution.

1. State the equation for the proportion of the golden mean, and solve it.

2. Write out the first 15 Fibonacci numbers.

3. Find the ratios of these successive Fibonacci numbers.

4. Run the Sieve of Eratosthenes through the first 100 numbers.

5. Express 6,720 as a product of primes.

6. Express 4001 as a product of primes.

7. Use products of primes to reduce 133/209.