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.
\[\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\cdots\]
- Find the formula for \(S_n\)
- Write down the value of
- \(S_3\)
- \(S_{10}\)
- \(S_{100}\)
- 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?