Arithmetic Sequences & Series - Worksheet 4 - 11th Grade

Medium

Find nth terms and sums of arithmetic sequences and series (Medium)

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

About This Worksheet

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

Arithmetic sequences are the discrete analog of linear functions — a fundamental connection that deepens understanding of both. They model linear growth patterns in finance, physics, and everyday life, and their sum formula provides an elegant shortcut with deep historical roots.

  • Find the nth term of an arithmetic sequence
  • Find the sum of the first n terms of an arithmetic series
  • Apply arithmetic sequences to model linear patterns in real-world contexts
  • Determine the number of terms when the first, last, and common difference are given
  • Find the sum of all integers in a range using the arithmetic series formula

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
9 + 1 =
2
8 + 6 =
3
8 + 5 =
4
2 + 5 =
5
2 + 9 =
6
3 + 4 =
7
5 + 1 =
8
4 + 4 =
9
10 + 5 =
10
10 + 6 =
11
5 + 2 =
12
2 + 4 =
13
9 + 5 =
14
4 + 8 =
15
10 + 7 =
16
1 + 6 =
17
3 + 8 =
18
3 + 2 =
19
7 + 10 =
20
10 + 7 =
21
6 + 9 =
22
8 + 9 =

Answer Key

1. 102. 143. 134. 75. 116. 77. 68. 89. 1510. 1611. 712. 613. 1414. 1215. 1716. 717. 1118. 519. 1720. 1721. 1522. 17

Frequently Asked Questions

How do I download this arithmetic sequences & series - worksheet 4 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this sequences & series worksheet cover?

This worksheet focuses on sequences, arithmetic, 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.