IB Math AI Worksheet 1.2 - Arithmetic Sequences

IB Math AI SL 1.2 – Arithmetic Sequences Worksheet

Topic: Number and Algebra
Level: IB Mathematics: Applications and Interpretation (SL)
File Type: Printable Worksheet / Student Practice Sheet

Overview

This worksheet provides extensive practice on arithmetic sequences and series, reinforcing the key skills introduced in IB Math AI SL Topic 1.2.
Students will work through problems involving finding terms, common differences, and sums in arithmetic progressions, while also applying their understanding to real-world financial contexts such as simple interest.

This worksheet complements the corresponding lesson slides and is designed to develop procedural fluency and conceptual understanding through scaffolded exercises.

Learning Objectives
By completing this worksheet, students will be able to:

• Identify arithmetic sequences and determine their first term and common difference.
• Derive and apply the formula for the nth term of an arithmetic sequence.
• Use summation notation to evaluate arithmetic series.
• Calculate the sum of a finite arithmetic series using the standard formula.
• Apply arithmetic sequence concepts to financial problems involving simple interest.

What’s Included

• Guided problems using summation notation to build familiarity with sigma expressions.
• Exercises on finding nth-term formulas for various arithmetic sequences.
• Word problems connecting arithmetic patterns to real-world financial applications.
• Step-by-step examples that model systematic reasoning and algebraic manipulation.
• Problems involving solving for unknowns in arithmetic conditions.
• Challenge problems involving simultaneous equations and term relationships.
• Answer key with fully worked solutions for all sections, supporting independent study or class feedback.
• Clean, printable layout suitable for individual, pair, or homework use.

Topics Covered

• Arithmetic sequences and nth-term formula.
• Summation of arithmetic series.
• Determining sequence parameters (a, d, n).
• Application of arithmetic series to financial contexts.
• Solving multi-step problems involving simple interest.

Why You’ll Love It

• Perfectly aligned with IB Math AI SL Topic 1: Numbers and Algebra.
• Provides a mix of symbolic, numeric, and applied reasoning exercises.
• Bridges abstract mathematics with real-world finance problems.
• Reinforces lesson concepts through clear, structured problem sets.
• Ideal for assessment, classroom reinforcement, or exam preparation.

Tags: IB Math AI SL, Arithmetic Sequences, Arithmetic Series, Summation, nth Term, Simple Interest, Number and Algebra, IB Curriculum, Worksheet, Practice Sheet