About this Simulation

This simulation enables learners to dynamically explore complex geometric series by adjusting the first term and common ratio in the complex plane. Visualise how series converge or diverge based on real and imaginary components, observe the sum's behaviour, and investigate the mathematical conditions governing convergence limits.

Learning objectives: Understand convergence criteria for complex geometric series | Visualise the relationship between the common ratio and series behaviour in the complex plane | Explore how real and imaginary parts influence the sum and convergence threshold