Exercise 13.

Use summation (\(\sum\)) or product (\(\prod\)) notation to rewrite the following.

  1. \(2 + 4 + 6 + 8 + \cdots + 2n\text{.}\)

  2. \(1 + 5 + 9 + 13 + \cdots + 425\text{.}\)

  3. \(1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \cdots + \frac{1}{50}\text{.}\)

  4. \(2 \cdot 4 \cdot 6 \cdot \cdots \cdot 2n\text{.}\)

  5. \((\frac{1}{2})(\frac{2}{3})(\frac{3}{4})\cdots(\frac{100}{101})\text{.}\)

Solution.
in-context