Geometric Progression

Definition of Geometric Progression

Rules of Geometric Progression

Notation of Geometric Progression

Here are the examples with solutions :

Example 1

Consider the sequence of numbers

Example 2

Sum of a Geometric Progression

Example 3

Sum of a Geometric Progression to Infinity

Example 4

Example 5

Converting a Recurring Decimal to a Fraction

Decimals that occurs in repetition infinitely or are repeated in period are called recurring decimals.

Example 6

Example 7

Example 8

Note : If the common ratio is :

• Negative, the results will alternate between positive and negative.
• Greater than 1, there will be exponential growth towards infinity (positive).
• Less than -1, there will be exponential growth towards infinity (positive and negative).
• Between 1 and -1, there will be exponential decay towards zero.
• Zero, the results will remain at zero.

References :

• http://www.mathportal.org/algebra/progressions/arithmetic-progressions.php
• http://mathematics.laerd.com/maths/geometric-progression-intro.php