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## What are some interesting sequences of numbers?

### Key questions

1. 1

What is the difference between a sequence and a series?

2. 2

What properties does an arithmetic progression have?

3. 3

What properties does a geometric progression have?

4. 4

How can we evaluate sums such as $\sum_{k=1}^n k$ and $\sum_{k=1}^n k^2$?

5. 5

When and how can we sum an infinite series?

6. 6

What does it mean for a sequence or series to converge or diverge?

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