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" Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1; the quotient will be the sum of the series required. "
Practical and Mental Arithmetic ... - Σελίδα 263
των Roswell Chamberlain Smith - 1839
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The Academic Algebra

William Frothingham Bradbury - 1889 - 414 σελίδες
...(1) from (2), rs — s = lr — a Whence, s= r~a. Hence, T ~~~ i. Bu1e. Multi.ply the last term Ьу the ratio, from the product subtract the first term, and divide the remainder Ьу the ratio less one. 1. Given a — 5, I = 320, and r = 2, to find s. Ir -a, 320X2-5 8 = r = =...

New Elementary Algebra: Primary Elements of Algebra, for Common Schools and ...

Joseph Ray - 1894 - 240 σελίδες
...may the common ratio in any geometrical series be found ? TO FIND THE SUM OF A GEOMETRICAL SERIES, Rule. — Multiply the last term by the ratio, from...first term, and divide the remainder by the ratio less one. 1. Find the sum of 10 terms of the progression 2, 6, 18, 54, etc. The last term =2X39 =2 X 19683=39366....

Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - 1895 - 377 σελίδες
...one fourth of this remainder must be the Bum of the given series ; but 4 is the ratio less 1. Hence, Rule. Multiply the last term, by the ratio, from the...first term, and divide the remainder by the ratio less one. 106. The extremes are 4 and 2916, and the ratio 3 ; what is the sum of the series? Ans. 4372....

Higher Book

William Seneca Sutton - 1896
...PROCESS. 3 x 243 = 729 ; 729 - 3 = 726 ; J of 726 = 363. To find the sum of a geometrical series : 357. Multiply the last term by the ratio. From the product subtract the first term. Divide the remainder by the ratio less 1. 2. The first term is 5 ; the multiplier is 6 ; the last term...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 σελίδες
...s= - j— = — r . *•— 1 r— 1 Hence, the BULK, FOR FINDING THE SCSI OF A GEOMETRICAL SERIES. Multiply the last term by the ratio, from the product...first term, and divide the remainder by the ratio less one. EXAMPLES. 1. Find the sum of 10 terms of the progression 2, (i, 18, 54, Jto. The hwt term =2X3'=2X...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 320 σελίδες
...for Case II. — Multiply the greatest term by the ratio ; from theproduct subtract the leastterm, and divide the remainder by the ratio less 1 ; the quotient will be the sum of the series. NOTE. — When a series is decreasing, and the number of terms infinite, the last term is naught. In...

The Western Calculator, Or, A New and Compendious System of Practical ...

Joseph Stockton - 1839 - 203 σελίδες
...-uvduct will be the last term, or greater extreme. 2. Multiply the last term by the ratio, from that product subtract the first term, and divide the remainder by the ratio, less one ; the amount will be the sum of the series, or of all the terms. . EXAMPLE. 1. Suppose 20 yards...




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