A worksheet on geometric sequences. The exercises require to find specific terms of a geometric sequence given a_1 and r or 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of a geometric sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.

Master exponential patterns with this comprehensive Geometric Sequences worksheet pack. Perfect for Key Stage 4 and A-Level maths revision, homework, or exam prep covering explicit formulas and geometric proofs.

Take your students’ sequence unit to the next level with this ready-to-print Geometric Sequences Practice Worksheet Pack! Moving past basic computational identification, this resource challenges secondary school learners with multi-step variable applications, non-consecutive systems, and geometric mean algebraic proofs. This 8-page PDF download features 4 clean pages of student practice questions (12 comprehensive questions total) and 4 pages of beautifully worked, page-for-page teacher solutions.

What’s Included in This 8-Page Pack?
• Direct Term Calculations (Q1–Q4): Fluency practice calculating the first five terms or specific high-value positions (such as a3, a5, or a6) when given the initial term and the common ratio.
• Non-Consecutive Term Systems (Q5–Q9): High-rigour questions where students must set up simultaneous exponential equations, divide them to eliminate the first term, isolate the common ratio ®, and find the baseline sequence.
• Geometric Mean Proofs (Q10): Algebraic exercises requiring students to expand and distribute expressions to prove consecutive term relationships using the b^2 = ac property.
• Quadratic Variable Challenges (Q11–Q12): Critical thinking problems requiring students to solve for an unknown variable x or calculate a uniform constant that must be added to a set of numbers to form a perfect sequence.
• Full Step-by-Step Solutions: Every single question features its full algebraic layout, substitution steps, root extractions, and final sequences to support quick marking or independent student self-assessment.

Perfect For:
• Key Stage 4 (KS4) Maths mastery and GCSE Higher tier revision
• A-Level Core Maths, Pure Maths revision, and targeted homework packs
• End-of-course exam preparation, mock revision, and formative assessments
• Emergency cover lesson plans (simply print and hand out!)

File Information:
• Format: High-quality, print-ready PDF document (8 pages including fully worked answers).