Mathematics: Applications and Interpretation · Topic 1: Number and algebra

SL1.3 — Geometric sequences and series

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AISL1.3.1

   Geometric sequences: the nth term

   Common ratio $r$ and the formula $u_n=u_1 r^{\,n-1}$.

2. AISL1.3.2

   Geometric series and sigma notation

   Summing the first $n$ terms with $S_n=\dfrac{u_1(r^{\,n}-1)}{r-1}$.

3. AISL1.3.3

   Applications

   Population growth, salary changes and the spread of disease.