Posts Tagged ‘pattern’
Thursday, November 19th, 2009
How to Find the Common Ratio of a Geometric Series
Description
A detailed tutorial on how to find the common ratio of a geometric series. Step by step tutorial including several examples of the common ratio for reference.
Overview
The common ratio is part of a geometric series, used commonly in calculus. The common ratio is the ratio of each term to the next – in other words, the common ratio is the pattern that the series or sequence follows. This is possible because in a geometric series, terms are only being multiplied by one number to get the next number, and it is always the same number. If a series is not geometric, it will not have a common ratio.
Tags: Calculus, common, geometric, multiplication, multiply, number, pattern, ratio, sequence, series, term
Posted in Calculus | No Comments »
Thursday, November 12th, 2009
How to Find the Next Term in an Arithmetic Sequence
Description
A detailed tutorial on finding the next term of an arithmetic sequence. Step by step tutorial including several examples of arithmetic sequences for reference.
Overview
Arithmetic sequences are sequences of numbers that are written in a particular pattern. Most problems including an arithmetic sequence don’t include all the terms in the sequence, and you have to find the next one in the sequence. In order to do this, you must find the pattern. The pattern can be anything – the same number could be added, subtracted, mutliplied, or divided from each previous number of the sequence. The previous number could be added to the number after it to come up with the next number. Each number in the sequence could be divisible by the same number. All numbers could be perfect or prime. There are an endless number of patterns, all you have to do is look and then follow that pattern to come up with the next term or terms in the sequence.
Tags: add, arithmetic, divide, mutliply, next, number, pattern, perfect, previous, prime, sequence, subtract, term
Posted in Arithmetic | No Comments »
Tuesday, November 10th, 2009
How to Make a Bar Graph
Description
A detailed tutorial on how to make bar graphs. Step by step tutorial including several examples on how to make a bar graph for reference.
Overview
A bar graph, also referred to as a bar chart as to not be confused with graphs on the coordinate plane, is a visual expression of a set of data. Bar graphs deal with the real numbers in specific data sets. Typically they are split up into more than one category. A bar is drawn on each category extending to the number associated with that category. Traditionally, bar graphs need to have a title, an assigned label to each axis, and a certain pattern to continue writing numbers in.
Tags: algebra, axis, bar, categories, category, chart, graph, label, number, pattern, set, title, visual
Posted in Algebra | No Comments »
Friday, October 30th, 2009
Introduction to the Euclidean Algorithm
Description
A detailed tutorial on the Euclidean algorithm. Step by step tutorial including several examples of the Euclidean algorithm for reference.
Overview
The Euclidean algorithm, sometimes referred to as Euclid’s algorithm, is the most efficient way of determining the greatest common factor of two numbers. The greatest common factor of two numbers is the largest number that divides them both evenly. The Euclidean algorithm is used in a series of steps – it follows a pattern that helps to find numbers and their factors with accuracy.
Tags: algebra, algorithm, common, divides, divisor, Euclid, Euclidean, evenly, factor, greatest, highest, negative, pattern, positive, remainder, steps
Posted in Algebra | No Comments »
Thursday, October 22nd, 2009
Inductive Sets in Set Theory
Description
A detailed tutorial on inductive sets in set theory. Step by step tutorial including several examples of inductive sets in set theory for reference.
Overview
An inductive set is a continuous set of natural numbers that follows a basic pattern of n + 1. This means that for all numbers in the set, that number plus the number one must also be included in the set.The set does not need to include all natural numbers – that is, the set may start at any natural number provided it is greater than or equal to one. However, the set must continue to infinity or it cannot be considered an inductive set.
Tags: -1, addition, complete, continuous, discrete math, element, equal, greater, induction, inductive, infinity, mathematical, natural, numbers, one, pattern, principle, set, subset, theory
Posted in Discrete Math | No Comments »
Thursday, October 1st, 2009
Definition of a Rhodonea Curve
Description
A detailed tutorial of the definition of a rhodonea curve. Step by step tutorial including several visual examples of rhodonea curves for reference.
Overview
Rhodonea curves, also known as rose curves, are one of the most common patterns to find in the graph of polar coordinates. Rhodonea curves have an easy pattern to follow. A rhodonea curve is formed when you have the equation 
If k is an odd number, then that is the exact number of “petals” the rhodonea curve will have. If k is an even number, then the rhodonea curve will have twice that many “petals”. There are many different forms and varieties of rhodonea curves.
Tags: Calculus, even, forms, Math, odd, pattern, petals, polar coordinates, polar equation, polar graph, rhodonea curves, rose curves, varieties
Posted in Calculus | No Comments »
