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arithmetic progression

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arithmetic progression: see progression progression, in mathematics, sequence of quantities, called terms, in which the relationship between consecutive terms is the same. An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a given number, d,
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arithmetic progression
a sequence of numbers or quantities, each term of which differs from the succeeding term by a constant amount, such as 3,6,9,12

arithmetic progression [¦a·rith¦med·ik prə′gresh·ən]
(mathematics)
A sequence of numbers for which there is a constantdsuch that the difference between any two successive terms is equal tod. Also known as arithmetic sequence.


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What could be a more natural arithmetic progression than another in 2009?
An arithmetic progression (AP) is a sequence of numbers having the same difference between every pair of successive numbers.
Just in case you thought that magic squares were just amusing diversions and had no relevance to any other areas of mathematics, this very problem (construction of a 3 by 3 magic square all of whose entries are squares) has been shown to be highly relevant to problems in various domains, including arithmetic progressions, Pythagorean triangles, and elliptic curves.
 
 
 
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