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The cost to advance increases in an arithmetic series:
To derive the above formula, begin by expressing the arithmetic series in two different ways:
The sum of a finite arithmetic progression is called an arithmetic series.
All the relations among the parametric values are derived from the arithmetic series of the integers from 1 to 11.
"Give it an arithmetic series," Dairine whispered.
(Special case of the arithmetic series)
An Otonality corresponds to an arithmetic series of frequencies, or lengths of a vibrating string.
(see arithmetic series)
An Arithmetico-geometric sequence is a generalization of the geometric series, which has coefficients of the common ratio equal to the terms in an arithmetic series.
In mathematics, an infinite arithmetic series is an infinite series whose terms are in an arithmetic progression.
There are several list-building shortcuts: is used for lists whose elements form an arithmetic series, with the possibility for specifying an increment other than 1:
Sadlier's footprint in the world of academic publishing grows even further in 1943 with the publication of its Progress in Arithmetic series.
Utonality is the opposite, corresponding to a subharmonic series of frequencies, or an arithmetic series of wavelengths (the inverse of frequency).
If the integer is added to each of the numbers , , and , one obtains the squares of three consecutive terms of an arithmetic series.
II.12) the Chinese remainder theorem, perfect numbers and Mersenne primes as well as formulas for arithmetic series and for square pyramidal numbers.
Among his accomplishments are introducing techniques for solving certain types of algebraic equations using a numerical algorithm equivalent to the 19th century Horner's method, and for finding sums of arithmetic series.
One rearrangement of Bradford's Law predicts that 50% of the literature of a subject will be contained in 'n' journals, 50% of the remainder in 2n, with successive remainders forming an arithmetic series.