Grade 12 Sigma Notation Worksheet
A comprehensive worksheet for Grade 12 students covering sigma notation, including evaluating sums, expanding series, and writing expressions in sigma notation.
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Grade 12 Sigma Notation Practice
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Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Expand the following series and find its sum:
$$\sum_{i=1}^{5} (2i - 1)$$
2. Evaluate the following sum:
$$\sum_{k=0}^{3} k^2$$
3. Write the following series using sigma notation:
a) 3 + 6 + 9 + 12 + 15 =
b) 1 + 1/2 + 1/3 + 1/4 + 1/5 =
4. Which of the following is equivalent to $$\sum_{n=1}^{4} (n^2 + 1)$$?
$$\sum_{n=1}^{4} n^2 + 1$$
$$\sum_{n=1}^{4} n^2 + \sum_{n=1}^{4} 1$$
$$\sum_{n=1}^{4} (n^2) \cdot (\sum_{n=1}^{4} 1)$$
$$\sum_{n=1}^{4} (n^2 + 4)$$
5. True or False: The index of summation can be any letter.
True
False