The image shows a sequence that needs to be expressed in sigma notation. The sum is:

$\frac{1}{6(1)} + \frac{1}{6(2)} + \frac{1}{6(3)} + \dots + \frac{1}{6(19)}$

To write this sum in sigma notation, notice that the general term is:

$\frac{1}{6(i)} \quad \text{for} \quad i = 1, 2, 3, \dots, 19.$

Therefore, the sum can be written as:

$\sum_{i=1}^{19} \frac{1}{6i}$

This is the compact form using sigma notation.

Would you like further details or explanations on how to derive this notation? Here are some related questions:

1. How does sigma notation simplify expressing large sums?
2. What is the general form of a sigma notation expression?
3. Can sigma notation be used for infinite series as well?
4. How would this sum change if it started at a different value of $i$?
5. How could we calculate the value of this sum using a calculator?

Tip: When using sigma notation, always identify the general term and the limits of the summation (start and end values).