Monday, March 4, 2013

General Patterns in Math

Introduction for general patterns in math:

In math, Patterns are generally the group of numbers which are listed in an order under a certain conditions. There are three different types of general patterns in math. Each pattern has some properties. In this article, we shall discuss about different types of general patterns in math. Also we shall solve some sample problems based on general patterns in math. Please express your views of this topic Double Integrals over General Regions by commenting on blog.


Types of General Patterns in math:


Arithmetic Pattern
Geometric Pattern
Alphabetic Pattern
These are the 3 different types of general patterns in math.

Arithmetic patterns:

Mostly the patterns are denoted as sequences. There are two types of sequences that are possibly occurs. They are finite and infinite sequences. On the other hand, we can express a number pattern using some special symbols. We can explain the number patterns in multiple ways. Let us consider a pattern of numbers {1, 2, 4, 8, 16,….}. In this pattern, the first term of this pattern is 1; and the second term can be obtained by multiplying 2 with the first term.

Geometric Patterns:

The pattern that involves geometric shapes are said to be Geometric Patterns. Geometric Patterns cannot create patterns, but it remains part of Space and Geometry. Ellipses are developed from circles. Likewise, polygon shapes do not have an exact dimension.

Alphabetic Patterns:

Patterns based on alphabetical characters are said to be alphabetic pattern. Moreover the alphabets in a sequence are the alphabetical pattern for the particular sequence.

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Example for general patterns in math:


Determine the next two terms in the given pattern

2, 4, 6, 8, 10, 12, ___, ____

Solution:

The first number in the given pattern is 2

The second number in the given pattern = 2 + 2 = 4

The third term is 4 + 2 = 6

The fourth term is 6 + 2 = 8

Likewise, the missing terms can be evaluated as follows.

The seventh term will be 12 + 2 = 14

The eighth term is 14 + 2 = 16

This is an even number sequence.

So the exact pattern is 2, 4, 6, 8, 10, 12, 14 and 16.

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