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8th Grade Arithmetic and Geometric Sequences Worksheets

Ages 13-14 · Free previews · Print-ready PDFs

Written by Adi Ackerman, Head Teacher

An arithmetic sequence adds the same common difference d each time, and a geometric sequence multiplies by the same common ratio r. There are 20 sheets for 8th grade here, each with an answer key and a worked example at the top. Classify Sequences With Negative Terms starts with lists like −5, 10, −20, 40, −80, Geometric Sequences With Fraction Ratios works with ratios such as −2/5, and Find the 50th and 100th Terms uses first term + (n − 1) × d. Two mazes, a card sort and a riddle let students check their own answers.

Frequently Asked Questions

Subtract each term from the next one. If the difference is always the same, the sequence is arithmetic. If dividing each term by the one before gives the same number, it is geometric. A list like 1/4, 1/5, 1/6, 1/7 passes neither test.

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