Geometric Series
Hi everyone. This math post is on geometric series where we add numbers together that are in a pattern like this:
Note: I trying this thing out where I am using RStudio with RMarkdown and the Windows Snipping tool for math images.
Reference Book: Nelson-Thomson Functions 11
Sections
- A Review Of Geometric Sequences
- Geometric Series
- A Formula For Adding Numbers In Geometric Sequences
- Examples
A Review Of Geometric Sequences
When it comes to number patterns, geometric sequences have the arranged numbers are either increasing or decreasing (from left to right). The step from one number to the next number is based on a common ratio.
As a example, a tennis tournament starts with 64 players. After each round, half of the players lose and get eliminated from the tournament. The final match consists of two remaining players where the winner claims the tournament prize. This geometric sequence looks like:
The first value is 64, the last value is 1. In addition the common ratio is one half and there are 7 numbers in the sequence. These 7 numbers represent the number of matches in each of the seven rounds in the tennis tournament.
General Case Of Geometric Sequences
Geometric Series: Adding Numbers In Geometric Sequences
Examples
Example One
Example Two
Example Three
