Write the following series in sigma notation.
8, plus, 12, plus, 16, plus, 20, plus, 24, plus, 28
8+12+16+20+24+28

The series you provided is:

\[ 8 + 12 + 16 + 20 + 24 + 28 \]

This is an arithmetic series where the first term \(a_1 = 8\), and the common difference \(d = 4\).

To express this in sigma notation:

\[
\sum_{n=1}^{6} (4n + 4)
\]

This represents the sum of the first 6 terms, where the general term \(4n + 4\) gives each term in the series.

Would you like further details on how to construct sigma notation for arithmetic series or have any other questions?

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Here are five questions related to this concept:

1. How do you find the sum of an arithmetic series?
2. What is the general form of an arithmetic sequence?
3. How do you determine the number of terms in a series?
4. Can you convert any sequence into sigma notation?
5. What are the differences between arithmetic and geometric series?

**Tip:** Sigma notation is useful for representing long sums in a concise way, especially when dealing with arithmetic or geometric progressions.

Write the following series in sigma notation: 8 + 12 + 16 + 20 + 24 + 28

Discover how to write the arithmetic series 8 + 12 + 16 + 20 + 24 + 28 in sigma notation. This detailed explanation covers key concepts such as sigma notation and the general form of an arithmetic sequence, suitable for students in Grades 9-11.

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