Rudimentary Treatise on Logarithms (Classic Reprint)

Excerpt from Rudimentary Treatise on Logarithms

The numbers composing a series in continued proportion, similar to the above, will, on examination, be found to be de rived from each other by the continual multiplication of the previous term by some constant number; thus, in the first series, 6 is derived from 2 by being multiplied by 3, and in like manner 18 is obtained from 6, and 54 from 18; so in the second series, the constant multiplier is 2, each term being derived from the preceding by multiplication by that num ber. A series of numbers thus obtained by the continual multiplication of its terms by a constant number is called a geometrical series; such is the series (a) above; while a series in which the terms are derived by the continual addition of a constant number is termed an arithmetical series, an example of which is afforded by the series (b) above.

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