Math Problem Statement
Write the following series in sigma notation. 9, plus, 12, plus, 15, plus, 18, plus, 21 9+12+15+18+21
Solution
The given series is an arithmetic series where the first term , the common difference , and there are 5 terms.
In sigma notation, an arithmetic series can be written as:
For this specific series, we have:
Thus, the sigma notation for the series is:
Would you like more details on how this notation works?
Here are 5 related questions you might find interesting:
- How do you derive the sum of an arithmetic series?
- What is the general formula for the sum of an arithmetic series?
- How would you write a geometric series in sigma notation?
- Can you find the sum of the given arithmetic series?
- How does sigma notation differ for infinite series?
Tip: In sigma notation, understanding the limits of summation (i.e., the range of ) is key to interpreting the series accurately.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Series
Sigma Notation
Sequences
Formulas
\sum_{n=1}^{N} \left( a + (n-1) \cdot d \right)
Theorems
Arithmetic Series Formula
Suitable Grade Level
Grades 8-10
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