Sequence and Series

Mathematics SSS 2 First Term

Theme: Numbers and Numeration


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)


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 rk of a fixed number r, such as 2k and 3k. The general form of a geometric sequence is

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