Free Printable Arithmetic Sequences Word Problems Worksheets for Year 7

Ask students to translate each situation into a table showing the term number and term value. Once they identify the first term and common difference, connect repeated addition to an explicit rule and have them interpret each part of the rule in context.

Mix three types of tasks: finding a missing term, writing an explicit formula, and using that formula to answer a real-world question. Savings plans and seating arrangements are especially useful because students can check whether their answers are reasonable.

Watch for students who use the term number instead of one less than the term number when writing an explicit rule. They may also confuse the initial value with the common difference or give a numerical answer without the correct unit.

The worksheets are available as printable PDFs and as digital activities that can be hosted as quizzes on Wayground. Each has a complete answer key; if students work on paper, teachers can capture their submissions and grade them with the Wayground for Teachers app.

Arithmetic sequences connect Common Core work with proportional relationships and algebraic expressions to the later study of linear functions. Students learn to distinguish a sequence's starting term from its constant change, an important step toward writing equations with an initial value and rate.

Give developing learners a version with larger type or wider spacing, and reduce answer choices during digital practice when several formulas look similar. Students ready for enrichment can solve for an unknown term number or compare two sequences with different starting values and common differences.

Yes. They are designed for Grade 7 students who are ready to move from extending numerical patterns to writing rules and solving contextual problems with a constant difference.