
	Where results make sense

Topic: Geometric sequence

Related Topics

Geometric series

Geometric distribution

Memorylessness

Scale factor

Scale factor (Universe)

Mortgage

Normal distribution

Homosexuality

In the News (Fri 11 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	MATHGuide's Geometric Sequences
		Sequences of numbers that follow a pattern of multiplying a fixed number from one term to the next are called geometric sequences.
		Sequence C is a little different because it seems that we are dividing; yet to stay consistent with the theme of geometric sequences, we must think in terms of multiplication.
		Because these sequences behave according to this simple rule of multiplying a constant number to one term to get to another, they are called geometric sequences.
	www.mathguide.com /lessons/SequenceGeometric.html (1373 words)

	geometric sequence
		Also known as a geometric progression, a finite sequence of at least three numbers, or an infinite sequence, whose terms differ by a constant multiple, known as the common ratio.
		For example, starting with 3 and using a common ratio of 2 leads to the finite geometric sequence: 3, 6, 12, 24, 48, and also to the infinite sequence 3, 6, 12, 24, 48,..., (3 x 2n)....
		If the terms of a geometric sequence are added together the result is a geometric series.
	www.daviddarling.info /encyclopedia/G/geometric_sequence.html (220 words)

	Geometric Sequences
		In a geometric sequence, the ratio between consecutive terms is constant.
		The sequence is geometric with a first term of 2 and a common ratio of -4/2 = -2.
		The sequence is geometric with a first term of 1 and a common ratio of -5/1 = -5.
	www.saskschools.ca /curr_content/mathb30/seq_series/les2/notes.htm (234 words)

	Geometric sequence article - Geometric sequence mathematics sequence numbers scale factor geometric series exponential ... (Site not responding. Last check: 2007-10-18)
		Thus without loss of generality a geometric sequence can be written as $a(r^0,r^1,r^2,r^3,...)\, where r is the common ratio and a is a scale factor .$
		and finally a sequence with a common ratio of -1 and a scale factor of 3 is
		The sum of the numbers in a geometric progression is called a geometric series.
	www.what-means.com /encyclopedia/Geometric_sequence (349 words)

	PlanetMath: geometric sequence
		Characterisric of the geometric sequence is thus that every two consecutive members of the sequence have the constant ratio
		When the members of the sequence are positive numbers, each member is the geometric mean of the preceding and the following member; the name ``geometric sequence''(or ``geometric series'') is due to this fact (a comparable fact is true for the harmonic series and harmonic mean).
		This is version 7 of geometric sequence, born on 2004-09-26, modified 2004-11-20.
	planetmath.org /encyclopedia/CommonRatio.html (137 words)

	Geometric progression - Encyclopedia, History, Geography and Biography
		In mathematics, a geometric progression (also inaccurately known as a geometric series, see below) is a sequence of numbers such that the quotient of any two successive members of the sequence is a constant called the common ratio of the sequence.
		A non-zero geometric progression shows exponential growth or exponential decay.
		A geometric series is, strictly speaking, the sum of the numbers in a geometric progression.
	www.arikah.net /encyclopedia/Geometric_sequence (697 words)

	Geometric progression -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		Compare this with an ((mathematics) a progression in which a constant is added to each term in order to obtain the next term) arithmetic progression showing linear growth (or decline) such as 4, 15, 26, 37, 48,....
		Since a geometric series is a sum of terms in which two successive terms always have the same (The relative magnitudes of two quantities (usually expressed as a quotient)) ratio,
		An infinite geometric series is an (Click link for more info and facts about infinite series) infinite series whose successive terms have a common ratio.
	www.absoluteastronomy.com /encyclopedia/g/ge/geometric_progression.htm (649 words)

	PlanetMath: sequence
		is a finite ordinal, then we say the sequence is a finite sequence.
		This is version 5 of sequence, born on 2001-10-19, modified 2002-08-31.
		Sequence is any number set, which is arranged in a way that one number comes first, one second, one third and it is possible for every number of the set to define at which place of the sequence it stands.
	planetmath.org /encyclopedia/Sequence.html (200 words)

	Arithmetic Sequence & Geometric Sequence - Math Tables, Facts and Formulas - Hoxie High School Mathematics ...
		In this particular sequence: the (value of the) first term is 3, the constant adder is 4, the (value of the) last term is 43, and the number of terms (in the sequence) is 11.
		A Geometric Sequence is one in which there is a constant multiplier between terms.
		In this particular sequence: the (value of the) first term is 3, the constant multiplier is 2, the (value of the) last term is 384, and the number of terms (in the sequence) is 8.
	www.dsusd.k12.ca.us /users/bobho/Alg/sequen.htm (596 words)

	InterMath / Dictionary / Description (Site not responding. Last check: 2007-10-18)
		The individual numbers, figures, or letters in the sequence are called the terms of the sequence.
		Numerical sequences can be classified according to the method used to get from one term to the next.
		If we multiply by a constant as we move from one term to the next, the sequence is called a geometric sequence (in the geometric sequence in the table above, we multiply each term by 2 to get the next term.
	www.intermath-uga.gatech.edu /dictnary/descript.asp?termID=326 (220 words)

	Sequences: Arithmetic and Geometric (Site not responding. Last check: 2007-10-18)
		A sequence is defined as a function, an, having a domain the set of natural numbers and the elements that are in the range of the sequence are called the terms, a1, a2, a3,...., of the sequence.
		An arithmetic sequence is a sequence in which each term after the first term is obtained by adding a fixed number, the common difference, to the previous term.
		A geometric sequence is a sequence in which each term after the first term is obtained by multiplying the preceding term by a constant nonzero real number, called the common ratio.
	jwilson.coe.uga.edu /EMT668/EMT668.Student.Folders/HeadAngela/essay2/sequences.html (487 words)

	MathComplete.com - Sequence and Series - Tutorial (Site not responding. Last check: 2007-10-18)
		Arithmetic sequence is a sequence of a number each of which, after the first, is obtained by adding to the preceding number a constant number called the common difference.
		Geometric sequence is a sequence of a number each of which, after the first, is obtained by multiplying the preceding number by a constant number called common ratio.
		This is geometric sequence because we have a common ratio r = -1/4
	www.mathcomplete.com /tutorial/sequence?pg=1 (283 words)

	Switched capacitor circuit for generating a geometric sequence of electric charges - Patent 4471482 (Site not responding. Last check: 2007-10-18)
		A geometric sequence of electric charges is thus stored on the capacitors in which, first-order errors caused by inaccuracies in the capacitance values of the capacitors are eliminated.
		The invention relates to an arrangement for generating a sequence of values of an electrical quantity, which values are proportioned as the terms of a geometric sequence, especially for use in digital-to-analog or analog-to-digital converters.
		It is an object of the invention to provide an arrangement which enables a sequence of electric charges to be generated, whose magnitudes very accurately vary in accordance with a geometric sequence, without imposing extremely stringent requirements on the accuracy of the components used, specifically the capacitors.
	www.freepatentsonline.com /4471482.html (3443 words)

	precal9-3notes (Site not responding. Last check: 2007-10-18)
		Definition: A geometric sequence is a sequence in which each term after the first is equal to the product of the preceding term and the common ratio, r.
		Definition: A geometric series is the sum of a geometric sequence.
		Definition: If the sum of the first n terms of a infinite geometric sequence becomes closer and closer to a number L as n gets bigger and bigger, we say that the sum of the infinite geometric series is L.
	www2.ops.org /NORTH/curriculum/math/holley/precalhtml02/precal9-3notes.html (310 words)

	Identifying Arithmetic and Geometric Sequences (Site not responding. Last check: 2007-10-18)
		An arithmetic sequence is a list of numbers for which the value of any term is the previous term plus (or minus) a constant number, called the constant difference.
		A geometric sequence is a list of numbers for which the value of any term is the previous term multiplied (or divided) by a constant number, called the constant multiplier.
		They are used in economics, biology, and chemistry to model any quantity that changes by a fixed percentage in a given time, including compound interest, the growth or decay of a population, serial dilution of a solution, and the radioactivity of isotopes.
	www.mathblues.com /mainpages/sattips/0003geometricseq/popup (199 words)

	Math Scope & Sequence V-B: Geometric Relationships
		Students will identify properties of geometric figures by recognizing similar shapes (those that maintain the same shape, but are different in size).
		Geometric figures include polygons of eight sides or less, simple irregular shapes, rectangular solids, spheres, and cylinders.
		Students will be asked about transformations (translation, rotation, reflection) with any geometric shape to prove congruence of wo whole figures or their corresponding component parts.
	www.chenowith.k12.or.us /curriculum/math/V/B.html (505 words)

	Chapter Four (Site not responding. Last check: 2007-10-18)
		Sequence: An ordered list of numbers, the order of the sequence plays an important role as {1, 2, 3} and {2, 1, 3} contain the same numbers in different order, making them different sequences.
		Recursive Sequence: A sequence I which each term is defined by earlier terms.
		Arithmetic Sequence: A sequence in which the next term is found by adding a number to the current term.
	uhaweb.hartford.edu /OTOOLE/Chap4.HTML (281 words)

	PlanetMath: geometric series
		A geometric series is a series of the form
		The partial sums of a geometric series are given by
		This is version 10 of geometric series, born on 2002-01-03, modified 2005-02-08.
	planetmath.org /encyclopedia/GeometricSeries.html (98 words)

	7.3 - Geometric Sequences
		A geometric sequence is a sequence in which the ratio consecutive terms is constant.
		An infinite geometric series is the sum of an infinite geometric sequence.
		A sequence might be 1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, 1/256, 1/512, 1/1024, 1/2048, 1/4096, 1/8192, 1/16384, 1/32768, 1/65536,....
	www.richland.edu /james/lecture/m116/sequences/geometric.html (707 words)

	Arithmetic and Geometric Sequences
		A geometric sequence a sequence in which the ratio of any term to the term before it is a constant.
		The common ratio is 2, therefore the sequence is geometric.
		A geometric mean is an unknown term between two known terms of a geometric sequence.
	mathrocks.thebernas.net /IntMath3/SequencesSeries/pages/arithgeo/arithgeoseq.htm (510 words)

	A geometric sequence (Site not responding. Last check: 2007-10-18)
		In a geometric series, the sum of the 2nd and 3rd terms is 60, and the sum of the 3rd and 4th terms is 240.
		A geometric sequence has a particular pattern defined by two numbers, a, the first term and r, the common ratio.
		In your sequence the sum of the 2nd and 3rd terms is 60 and hence
	mathcentral.uregina.ca /QQ/database/QQ.09.03/michael2.html (130 words)

	Integer sequence (Site not responding. Last check: 2007-10-18)
		In mathematics, an integer sequence is a sequence (i.e., an ordered list of terms) of integer s.
		An integer sequence may be specified explicitly by giving a formula for its ''n -th term, or implicitly by giving a relationship between its terms.
		(the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description.
	www.serebella.com /encyclopedia/article-Integer_sequence.html (511 words)

	DPL- Assignment 2: Sequence Prediction
		Sequences such as the mersenne primes and the optical golomb rulers are still of great interest today.
		Related to the search for numerical sequences is the ability to identify a list of numbers as a certain numerical sequence; once you've identified the type of sequence, you can then predict what the next number in the sequence should be.
		In simple terms, a geometric sequence is one where the next number in a the sequence is a constant multiplier of the previous number.
	www.ug.cs.usyd.edu.au /~cs3/comp3006/s1_2002/assignments/As2COMP3006-3906.html (989 words)

	SparkNotes: Sequences and Series: Terms and Formulae
		Arithmetic Sequence - A sequence in which each term is a constant amount greater or less than the previous term.
		Geometric Sequence - A sequence in which the ratio between each term and the previous term is a constant ratio.
		Recursive Sequence - A sequence in which a general term is defined as a function of one or more of the preceding terms.
	www.sparknotes.com /math/precalc/sequencesandseries/terms.html (392 words)

	SparkNotes: SAT Math Level 1: Sequences
		A geometric sequence is a sequence in which the ratio of any term and the next term is constant.
		Whereas in an arithmetic sequence the difference between consecutive terms is always constant, in a geometric sequence the quotient of consecutive terms is always constant.
		The constant factor by which the terms of a geometric function differ is called the common ratio of the geometric sequence.
	www.sparknotes.com /testprep/books/sat2/math1c/chapter12section2.rhtml (737 words)

	InterMath / Dictionary / Description (Site not responding. Last check: 2007-10-18)
		Geometric Sequence: A sequence of numbers in which the ratio between any two consecutive terms is the same.
		This fixed number is called the common ratio for the sequence.
		Although the first three terms of the above sequence gives the impression that it is a geometric sequence with common ratio 3, the fourth term 19 is not 3x9.
	www.intermath-uga.gatech.edu /dictnary/descript.asp?termID=157 (120 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-18)
		Date: 08/05/99 at 00:29:13 From: Andy Subject: Geometric Sequences This is a complicated problem.
		A sequence is geometric if the ratio of every pair of adjacent terms is a constant.
		A sequence is arithmetic if the difference of every pair of adjacent terms is a constant.
	mathforum.org /library/drmath/view/56957.html (416 words)

	Geometric Series (Site not responding. Last check: 2007-10-18)
		A sequence is a function whose domain is the positive integers (sometimes the nonnegative integers).
		On the other hand, if the sequence consists of terms that continue to get smaller and smaller, then it is not clear whether the sum will grow without bound.This is where the need for sequences comes in.
		The limit of the sequence of partial sums is said to be the sum of the series.
	mathcircle.berkeley.edu /BMC4/Handouts/serie/node2.html (297 words)

	MathComplete.com - Sequence and Series - Tutorial (Site not responding. Last check: 2007-10-18)
		A series is formed by the sum of the terms of a sequence.
		Geometric series is a sum of a number each of which, after the first, is obtained by multiplying the preceding number by a constant number called common ratio.
		This is geometric sequence because we have a common ratio r = 3
	www.mathcomplete.com /tutorial/sequence?Pg=2 (271 words)

Try your search on: Qwika (all wikis)