Question

use sigma notation to write the sum.
\\(\frac{1}{6(1)} + \frac{1}{6(2)} + \frac{1}{6(3)} + \dots + \frac{1}{6(20)}\\)
\\(\sum_{i=1}^{\boxed{}} \boxed{}\\)

Explanation:

Step1: Identify the general term

Observe the pattern: each term is $\frac{1}{6(i)}$ where $i$ starts at 1.

Step2: Determine the upper limit

The last term uses $i=20$, so the upper index is 20.

Step3: Write sigma notation

Combine the general term and index range.
$$\sum_{i=1}^{20} \frac{1}{6i}$$

Answer:

$$\sum_{i=1}^{20} \frac{1}{6i}$$