## Series Break Homework

Complete the following questions during the break. Remember, if you get stuck you can leave a comment below. If you see a question in the comments and you have a suggestion to make, post that too!

Pages 172–173 questions 1, 2, 3, 11, 12, and 20

Additionally, see if you can complete all of the question below.

Consider the series shown here.

$\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\cdots$

1. Find the formula for $$S_n$$
2. Write down the value of
1. $$S_3$$
2. $$S_{10}$$
3. $$S_{100}$$
3. What do you notice happening to the value of $$S_n$$ as $$n$$ increases? Can you use the formula for $$S_n$$ to explain why this is happening?

## The Binomial Distribution

Complete the following questions for the start of our lesson tomorrow.

Pages 879–881 questions 5a–d, 6a–c, 8, 9bc, 13, 14, 15

## Roots of Complex Numbers

Below is a GeoGebra applet that will allow to you find the $$n^{\textrm{th}}$$ roots of a complex number $$G$$, for a value of $$n$$ from 1 to 5. (Note that it does take some time to load.)