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

SL1.3 — Geometric sequences and series

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

  1. Geometric sequences: the nth term

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

  2. Geometric series and sigma notation

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

  3. Applications

    Population growth, decay and other repeated-multiplier situations.

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