Write the following series in sigma notation.
9, plus, 12, plus, 15, plus, 18, plus, 21
9+12+15+18+21

The given series is an arithmetic series where the first term \( a = 9 \), the common difference \( d = 3 \), and there are 5 terms.

In sigma notation, an arithmetic series can be written as:

\[
\sum_{n=1}^{N} \left( a + (n-1) \cdot d \right)
\]

For this specific series, we have:
- \( a = 9 \)
- \( d = 3 \)
- \( N = 5 \)

Thus, the sigma notation for the series is:

\[
\sum_{n=1}^{5} \left( 9 + (n-1) \cdot 3 \right)
\]

Would you like more details on how this notation works?

Here are 5 related questions you might find interesting:
1. How do you derive the sum of an arithmetic series?
2. What is the general formula for the sum of an arithmetic series?
3. How would you write a geometric series in sigma notation?
4. Can you find the sum of the given arithmetic series?
5. How does sigma notation differ for infinite series?

**Tip:** In sigma notation, understanding the limits of summation (i.e., the range of \(n\)) is key to interpreting the series accurately.

Write the following series in sigma notation: 9 + 12 + 15 + 18 + 21

Learn how to express the arithmetic series 9 + 12 + 15 + 18 + 21 in sigma notation. This example walks through the step-by-step process using the formula for an arithmetic series, ideal for students in Grades 8-10.

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