Arithmetic & Geometric Sequences Test Worksheet | Find Nth Term & Sum

Assess and reinforce your students’ understanding of number sequences with this comprehensive assessment worksheet and full answer key.

This resource features a complete test covering arithmetic sequences, geometric sequences, finding the nth term, generating sequence terms from explicit formulas, calculating target terms, finding the sum of arithmetic series, and solving missing term sequence puzzles. Full step-by-step solutions with mark allocations are included for easy grading or self-assessment.

What is Included:

• 1 Printable Assessment Worksheet (5 structured core questions, total 20 marks)
• 1 Detailed Solution & Answer Key with step-by-step working out

Key Topics Covered:

• Identifying term patterns in arithmetic and geometric sequences
• Writing the first five terms using linear nth term rules
• Finding explicit nth term rules for arithmetic progressions
• Calculating specific terms (e.g., 14th term) using nth term formulas
• Computing sums of arithmetic series using summation formulas
• Solving linear common differences to fill missing terms between boundaries

Perfect for Key Stage 3, Key Stage 4, GCSE Revision, Algebra 1, and Higher-Level Secondary Mathematics.