Mathematics Grade 12 Term 1 Lesson 2: Arithmetic and Geometric Sequences and Series

Topic: Number Patterns – Arithmetic and Geometric Sequences and Series

Duration: 1 Week

CAPS Document Alignment: This lesson covers arithmetic and geometric sequences and series, their definitions, general terms, and sum formulae, as per the South African CAPS curriculum.

Lesson Outcomes

By the end of this week, learners should be able to:

1. Define and identify arithmetic and geometric sequences.
2. Derive and apply the general terms for both types of sequences.
3. Differentiate between sequences and series and understand their notation.
4. Calculate the sum of terms in an arithmetic series using .
5. Calculate the sum of terms in a geometric series using  Sn=a1-rn1-r
   for |r|<1

   .

6. Apply these formulas to solve real-world problems.