Grade 11 Sigma Notation Worksheet
This worksheet covers fundamental concepts and applications of sigma notation for Grade 11 students, including evaluating sums, writing series in sigma notation, and understanding its properties.
Includes
Standards
Topics
Sigma Notation Practice
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Evaluate the following sum: \(\sum_{i=1}^{5} (2i + 3)\)
2. Evaluate the following sum: \(\sum_{k=2}^{4} k^2\)
3. Write the series \(3 + 6 + 9 + 12 + 15\) in sigma notation:
4. Write the series \(1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4}\) in sigma notation:
5. Which of the following is equivalent to \(\sum_{i=1}^{n} (a_i + b_i)\)?
\((\sum_{i=1}^{n} a_i) + (\sum_{i=1}^{n} b_i)\)
\((\sum_{i=1}^{n} a_i) \cdot (\sum_{i=1}^{n} b_i)\)
\(\sum_{i=1}^{n} (a_i b_i)\)
None of the above
6. The value of \(\sum_{j=1}^{3} 5\) is 15.
True
False
7. A sequence is defined by \(a_n = 3n - 1\). Find the sum of the first 4 terms using sigma notation.