Description

Master geometric sequences with this comprehensive IB Math AI SL resource, designed specifically for Topic 1.3.1 of the IB Mathematics: Applications & Interpretation SL syllabus. This set includes a carefully structured homework assignment and a fully worked step-by-step answer key that focuses exclusively on geometric sequences — no sums or sigma notation required.

Click here to download a preview copy of the homework.

What’s Included

• Homework Set (Part 1 — Sequences Only)
  16 total questions designed to build deep understanding:

  • Practice Set A — Routine Skills

    • Find terms of a geometric sequence

    • Use the nth-term formula an=a1rn−1a_n = a_1 r^{n-1}an​=a1​rn−1

    • Work with integer, fractional, and negative ratios

  • Practice Set B — IB-Style Application Problems

    • Real-world contexts including:

      • A lawn-mowing business with changing rates

      • Subscription plans with arithmetic vs. geometric growth

      • Cycling training with exponential distance gains

      • Coffee prices under inflation

      • Bacterial growth modeling

    • Multi-part problems with layered reasoning, ideal for IB-style exam preparation

• Step-by-Step Answer Key
  Each solution follows a clear, consistent structure:

  1. State the formula

  2. Substitute known values

  3. Simplify carefully

  4. Conclude with the final answer

  Perfect for student self-checking, tutoring support, or teacher-led review.

Why Teachers Love It

• IB-Aligned: Follows the IB Math AI SL syllabus exactly.

• Exam-Ready: Includes both routine skills practice and application-style reasoning.

• Flexible Usage:

  • Classwork or homework

  • Spiral review and test prep

  • Supports differentiation for mixed-ability groups

• Classroom-Tested: Developed and refined with IB cohorts for effective learning.

Key Topics Covered

• Nth-term formula: an=a1⋅rn−1a_n = a_1 \cdot r^{n-1}an​=a1​⋅rn−1

• Identifying and interpreting the common ratio

• Comparing arithmetic and geometric growth

• Modeling real-world contexts with sequences

• Exponential growth and decay scenarios

This resource gives your students the essential foundation for understanding geometric sequences while preparing them for IB-style reasoning without introducing geometric series or sums too early.