Mathematics SSS 2 First Term

Theme: Numbers and Numeration

WEEK 5

Sequence and Series

Performance Objectives

Students should be able to;

1. Define geometric progression

2. Distinguish between a sequence and a series

1. Solve problems on geometric progression

Geometric Progression (G.P)

Content

A geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, … is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, … is a geometric sequence with common ratio 1/2.

Examples of a geometric sequence are powers r^k of a fixed number r, such as 2^k and 3^k. The general form of a geometric sequence is