IB Maths AI HL SL 1.3 Geometric sequences & series
IB Maths AI HL SL 1.3 Geometric sequences & series
Students practise recognising geometric growth in contexts like ant colonies, weekly runs, or customer acquisition, then applying uₙ, Sₙ, and inequality solving.
How this is tested
- apply uₙ = u₁rⁿ⁻¹ to find a specific term or solve uₙ > threshold to find first week exceeding a value
- use the geometric series sum to find when a cumulative total passes a target
- sum a finite geometric series with r ≠ 1 to model cumulative effects after a change point