Posts Tagged ‘term’
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 »
Thursday, November 5th, 2009
Cancellation Properties of Natural Numbers
Description
A detailed tutorial on cancellation properties of natural numbers. Step by step tutorial including several examples of cancellation properties for reference.
Overview
Cancellation properties of natural numbers state that when two terms are equal to each other, if the same number is being multiplied or added on both terms, you may cancel them out and the terms will still be equal to each other. Knowledge of the cancellation properties is extremely important for simplification of equations and when trying to find the value of a variable. Mathematically stated, the cancellation properties are that if x + z = y + z or xz = yz, then x = y.
Tags: add, arithmetic, cancel, cancellation, equal, multiply, natural, number, out, properties, property, simplification, simplify, term, value, variable
Posted in Arithmetic | No Comments »
Friday, October 2nd, 2009
Overview of Polynomial Long Division
Description
A detailed tutorial on polynomial long division. Step by step tutorial including several examples of polynomial long division for reference.
Overview
Polynomial long division is a mix of regular long division and rules of polynomials – it looks confusing at first, but isn’t too difficult to follow. Polynomial long division is actually a type of algorithm. It is only used when dividing a polynomial by another polynomial of either the same or a lower degree. The “degree” of a polynomial is the highest power in the polynomial, and the terms in the polynomial should be ordered from highest degree to lowest degree. When using polynomial long division, you must write out all coefficients and terms, even “invisible” ones – ones that have a coefficient of zero and so are typically not written in the polynomial. Polynomial long division is solved the same way as regular long division
Tags: algebra, algorithm, coefficient, degree, division, long division, Math, polynomial, polynomial long division, synthetic division, term, value, zero
Posted in Algebra | No Comments »
Thursday, October 1st, 2009
Definition of an Abscissa
Description
A detailed tutorial of the definition of an abscissa. Step by step tutorial including several examples of the definition of an abscissa for reference.
Overview
An abscissa is not a term commonly heard in math, but it is something that most of us are familar with. An abscissa is the first number or element in an ordered pair – pair implying that there are only two values. A well known example is a Cartesian coordinate (x, y). “x” is the abscissa in this case.
Tags: abscissa, cartesian, coordinate, element, First, Geometry, graph, Math, number, ordered, pair, term, value, x
Posted in Geometry | No Comments »