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.

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
  
• 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.