Sigma Notation Practice

Practice worksheet for understanding and applying sigma notation in sums and series.

Grade 9 Math AlgebraSigma Notation

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

MathAlgebraSigma NotationSeriesSummation

7 sections · Free to use · Printable

Name:

Date:

Score:

Read each question carefully and follow the instructions to provide the correct answers. Show all your work where applicable.

1. Evaluate the following sum:

∑ (2k + 1) for k from 1 to 4

2. Calculate the value of the sum:

∑ (n²) for n from 1 to 3

Express the following series using sigma notation:

3. 3 + 6 + 9 + 12 + 15 =

4. 1 + 4 + 9 + 16 + 25 =

5. Which of the following is equivalent to ∑ (c * a_k) where c is a constant?

c + ∑ a_k

c * ∑ a_k

∑ (c * a_k)

c / ∑ a_k

6. The upper limit of summation must always be greater than the lower limit.

True

False

7. A sequence is defined by a_n = 3n - 2. Find the sum of the first 5 terms using sigma notation and evaluate it.