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Students learn how to derive the sum to infinity formula, S∞ = a/(1−r), for a convergent geometric series, using the limit of Sₙ as n → ∞ when |r| < 1.
As learning progresses, students apply the formula to find the common ratio and first term from a given sum to infinity, including problems that require forming and solving simultaneous equations.
Past Exam Question: Geometric Sequences and Series
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.
How to teach converting between fractions, decimals and percentages.
Four problem solving lessons to develop student’s mathematical reasoning and communication skills.
