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All 6 lessons in Geometric Progressions

  1. 1. From Adding to Multiplying — What is a Geometric Progression?

    Recognise and define geometric progressions; find the common ratio r by dividing consecutive terms; understand how r controls sequence behaviour

  2. 2. The nth Term Formula — Uₙ = arⁿ⁻¹

    Derive and apply the nth term formula for geometric progressions; solve for missing terms, ratios, and first terms

  3. 3. Two Terms, Two Equations — Finding a and r from Paired Terms

    Use simultaneous equations and the division method to find the first term and common ratio from two paired terms of a geometric progression

  4. 4. Adding Them All Up — The Sum of the First n Terms

    Learn the sum formulas for finite geometric progressions and apply them to calculate totals without manual addition

  5. 5. Forever and the Middle — Sum to Infinity and Geometric Mean

    Calculate the sum of an infinite converging Geometric Progression using the S∞ formula and find the Geometric Mean between two numbers

  6. 6. Putting it Together — Algebraic GP Problems and Word Problems

    Apply the cross-ratio property to solve algebraic GP problems and model compound interest and growth/decay scenarios as Geometric Progressions

Unit code SSA6