Mathematics: Analysis and Approaches · Topic 1: Number and algebra
SL1.3 — Geometric sequences and series
Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes
Geometric sequences: the nth term
Common ratio $r$ and the formula $u_n=u_1 r^{n-1}$.
Geometric series and sigma notation
Summing $n$ terms with $S_n=\dfrac{u_1(r^n-1)}{r-1}$.
Applications
Population growth, decay and other repeated-multiplier situations.