### Telescoping Series

Find $S_r = 1^r + 2^r + 3^r + ... + n^r$ where r is any fixed positive integer in terms of $S_1, S_2, ... S_{r-1}$.

### Degree Ceremony

Can you find the sum of the squared sine values?

### OK! Now Prove It

Make a conjecture about the sum of the squares of the odd positive integers. Can you prove it?