The series $6 + 13 + 20 + 27 + 34$ is an arithmetic series with a common difference of 7. We can express it in sigma notation as follows:

$\sum_{n=1}^{5} (6 + (n-1) \cdot 7)$

Here:

• The first term is 6.
• The common difference is 7.
• The number of terms is 5.

This expression represents the sum of the arithmetic sequence.

Would you like more details on how I derived this notation or any clarifications?

5 Related Questions:

1. How do you derive the formula for an arithmetic sequence?
2. Can you explain how to find the sum of an arithmetic series?
3. How does the common difference affect the terms in an arithmetic series?
4. What is the general form of sigma notation for any arithmetic series?
5. How do you calculate the sum of this specific series?

Tip: For arithmetic series, the difference between consecutive terms stays constant.