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Sigma Notation - Worksheet 5 - 11th Grade

Medium

Find terms and sums with explicit starting indices and convergence conditions.

medium: Practice the same exercise types with a fresh numbered set.

22 problems · 20-25 minutes · Skills: sequences, sigma, series

About This Worksheet

This medium-level worksheet contains 22 problems designed for 11th Grade students practicing sigma notation. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Factor polynomials, use exponent laws and solve equations with domain restrictions.

  • Find terms and sums with explicit starting indices and convergence conditions.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Evaluate the sum Σ from k = 1 to 4 of 5k.
Solution Steps:
  1. Factor out the constant.
  2. Use 1 + 2 + … + n = n(n + 1)/2.
Answer: 50
Tip: Check your result using the method in the example before moving to the next question.
1
Evaluate the sum Σ from k = 1 to 4 of 3k.
2
Evaluate the sum Σ from k = 1 to 5 of 11k.
3
Evaluate the sum Σ from k = 1 to 3 of 6k.
4
Evaluate the sum Σ from k = 1 to 3 of 11k.
5
Evaluate the sum Σ from k = 1 to 8 of 11k.
6
Evaluate the sum Σ from k = 1 to 6 of 5k.
7
Evaluate the sum Σ from k = 1 to 8 of 8k.
8
Evaluate the sum Σ from k = 1 to 4 of 6k.
9
Evaluate the sum Σ from k = 1 to 4 of 4k.
10
Evaluate the sum Σ from k = 1 to 4 of 5k.
11
Evaluate the sum Σ from k = 1 to 6 of 4k.
12
Evaluate the sum Σ from k = 1 to 3 of 5k.
13
Evaluate the sum Σ from k = 1 to 3 of 2k.
14
Evaluate the sum Σ from k = 1 to 3 of 10k.
15
Evaluate the sum Σ from k = 1 to 5 of 6k.
16
Evaluate the sum Σ from k = 1 to 4 of 1k.
17
Evaluate the sum Σ from k = 1 to 7 of 4k.
18
Evaluate the sum Σ from k = 1 to 6 of 3k.
19
Evaluate the sum Σ from k = 1 to 3 of 12k.
20
Evaluate the sum Σ from k = 1 to 7 of 1k.
21
Evaluate the sum Σ from k = 1 to 6 of 10k.
22
Evaluate the sum Σ from k = 1 to 7 of 12k.

Answer Key

1. 302. 1653. 364. 665. 3966. 1057. 2888. 609. 4010. 5011. 8412. 3013. 1214. 6015. 9016. 1017. 11218. 6319. 7220. 2821. 21022. 336

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Frequently Asked Questions

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What skills does this sequences & series worksheet cover?

This worksheet focuses on sequences, sigma, series. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.