Mathematics: Analysis and Approaches · Topic 1: Number and algebra

SL1.2 — Arithmetic sequences and series

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Arithmetic sequences: the nth term

   Common difference $d$ and the formula $u_n=u_1+(n-1)d$.

2. Arithmetic series and sigma notation

   Summing the first $n$ terms with $S_n=\tfrac{n}{2}(2u_1+(n-1)d)$.

3. Applications

   Simple interest and real-life models that are approximately arithmetic.