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arithmeticalprogression
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The answer ARITHMETICALPROGRESSION has 1 possible clue(s) in existing crosswords.
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Possible Crossword Clues |
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Eg, 2, 5, 8, 11, etc |
Last Seen in these Crosswords & Puzzles |
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Aug 21 2010 The Times - Concise |
Arithmeticalprogression might refer to |
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In mathematics, an Arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first. * For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with common difference of 2. * If the initial term of an arithmetic progression is * * * * * a * * 1 * * * * * {\displaystyle a_{1}} * and the common difference of successive members is d, then the nth term of the sequence ( * * * * * a * * n * * * * * {\displaystyle a_{n}} * ) is given by:* * * * * * a * * n * * * = * * a * * 1 * * * + * ( * n * − * 1 * ) * d * * * {\displaystyle \ a_{n}=a_{1}+(n-1)d} * ,and in general * * * * * * * a * * n * * * = * * a * * m * * * + * ( * n * − * m * ) * d * * * {\displaystyle \ a_{n}=a_{m}+(n-m)d} * .A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. * The behavior of the arithmetic progression depends on the common difference d. If the common difference is: * * positive, then the members (terms) will grow towards positive infinity; * negative, then the members (terms) will grow towards negative infinity. |