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arithmetic progression

The Columbia Encyclopedia, Sixth Edition

arithmetic progression see progression .


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The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press

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rugby ROUND-UP: Scots prepared; SIXTH RUGBY WORLD CUP STARTS TO DAY.(Sport)
; ...everything is going according to plan ahead of the big kick-off against Portugal. The most important thing for a coach is to see progression and to recognise that things are getting better and slicker, he said. I could not be happier about where we are at this... Read more
Progressing to a set of consecutive primes. (seven consecutive primes in arithmetic progression found)(Brief Article)
; ...found seven consecutive primes in arithmetic progression. The previous record had been six...involving six consecutive primes in arithmetic progression, but no examples of seven. Nelson...to eight consecutive primes in arithmetic progression. Dubner estimates that it would... Read more
Formula to obtain the next prime in an arithmetic progression.
; ...obtain the next prime in an arithmetic progression. ********** Theorem: We consider the arithmetic progression a + di i [greater than or...M . Let p a term in the arithmetic progression (it doesn't have to be prime... Read more
Football: Just stop going snooker loopy over San Marino; REPUBLIC LEGEND TONY IS THE VOICE OF IRELAND.(Sport)
; ...we can only hope that every performance gets better and then we can judge how we are at the end of the campaign. We need to see progression and make sure we have a chance in the next World Cup qualifying campaign. CAPTION(S): STAUNTON' DAVIS Read more
Arsenal are role models to Hoddle.
; ...teams are in a transition period. We are trying to get into those top three or four places. It's a growing challenge. 'I can see progression and by starting the season well we now need to consolidate our position.' Spurs full back Stephen Carr resumed full training... Read more
Convolution of two series.(Report)
; ...lower and the higher concept. 2. Arithmetic progression series The concept of sequences...finite or infinite) is called an arithmetic progression if the difference of any term from...sum of the first n terms in an arithmetic progression is sometimes called an arithmetic... Read more
New deal on cards as Coul aims for Bull's aye; UPDATE.(Sport)
; ...said: I want to stay with Red Bull and have started talks about next year. I want to race, I want to compete and I want to see progression in this team so I intend being around for a few years yet. Coulthard drove his 200th race in Barcelona last week but has... Read more
Something different on arrays.(Report)
; ...8 or 10, 13, 20, 19, 22, 25 The arithmetic progression translation property We assume...sub.2], [a.sub.3], ... an is an arithmetic progression if and only for any constant k...k, ... [a.sub.n] + k is also an arithmetic progression. This means that increasing (or... Read more
Remark on the 62-th Smarandache's problem.
; ...three members do not constitute an arithmetic progression. Is it true that always [summation...numbers which are members of an arithmetic progression. On the other hand 1/1 + 1/2...to] ... where no three form an arithmetic progression, is there any bound on the sum... Read more
Some properties of the Pseudo-Smarandache function.
; ...Theorem on primes in arithmetic progression in the following...integers. Then the arithmetic progression a + bt is prime...and T(k). Thus the arithmetic progression T(k) + 1 + kT(k... Read more

Related entries from encyclopedias, dictionaries, and thesauruses

arithmetic progression
arithmetic progression Sequence of numbers in which each term is produced by adding a constant...of such a progression, a + ( a + d ) + ( a + 2 d ) + … is an arithmetic series. For n terms, it has a value s n [2 a + 0.5( n − 1) d... Read more
progression
...consecutive terms is the same. An arithmetic progression is a sequence in which each...the indicated sum of an arithmetic progression, and its sum of the first...reciprocals of the terms of an arithmetic progression; it therefore has the general... Read more
progression
...state, esp. gradually or in stages: the normal progression from junior to senior status | their mode of progression through the forest. ∎  a succession...series: counting the twenty-four hours in a single progression from midnight. ∎  Mus. a passage or movement from one note or ... Read more
factorial
...factorial four ( 4! ) is equal to 24. (Symbol: ! ) ∎  the product of a series of factors in an arithmetic progression. • adj. chiefly Math. relating to a factor or such a product: a factorial design. DERIVATIVES: fac·... Read more
mean
...calculated by taking the mean of all three samples. See also arithmetic mean , geometric mean . ∎  the term or one of the terms midway between the first and last terms of a progression. 2. a condition, quality, or course of action equally... Read more

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