Write the following series in sigma notation.
8, plus, 12, plus, 16, plus, 20
8+12+16+20

The series \( 8 + 12 + 16 + 20 \) can be expressed in sigma notation as follows:

\[
\sum_{n=1}^{4} (4n + 4)
\]

### Explanation:
- This is an arithmetic series with a common difference of 4.
- The general term of this sequence can be written as \( 4n + 4 \), where \( n \) starts from 1 and goes to 4.

Would you like further details or have any questions?

Here are 5 questions to expand on this concept:
1. How would you express a longer arithmetic series using sigma notation?
2. Can you explain how to find the sum of an arithmetic series?
3. What is the general form for the \(n\)-th term of an arithmetic sequence?
4. How do you derive the formula for the sum of an arithmetic sequence?
5. How does changing the common difference affect the series?

**Tip:** When working with arithmetic sequences, identifying the common difference helps you quickly form the general term for sigma notation.

Write the following series in sigma notation: 8 + 12 + 16 + 20

Learn how to express the arithmetic series 8 + 12 + 16 + 20 in sigma notation. This guide covers the key concepts of arithmetic sequences, common differences, and sigma notation. Suitable for students in Grades 7-9.

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