 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...q—l That is, in order to obtain the sum of a certain number of terms of a progression by quotients, multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. ! When the progression is... | |
 | William Smyth - 1833 - 288 σελίδες
...we may obtain the sum of any number of the terms of a progression by quotient ; for this purpose, we multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. Let it be required to find... | |
 | Charles Davies - 1835 - 378 σελίδες
...— : q— 1 That is, to obtain the sum of a certain number of terms of a progression by quotients, multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. When the progression is decreasing,... | |
 | 1838 - 372 σελίδες
...— a whence S=— — — . That is, to obtain the sum of the terms of a progression by quotients, multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. 1. Find the sum of eight terms... | |
 | Thomas Sherwin - 1842 - 326 σελίδες
...terms, multiply the remainder by the first term,, and divide the product by the ratio minus unity ; or, multiply the last term by the ratio, subtract the...the product, and divide the remainder by the ratio minus unity. Ex. Required the sum of the series, 1, 2, 4, 8, &/C., the number of terms being 10? In... | |
 | Charles Davies - 1842 - 368 σελίδες
...Sq—S=lq—a-, whence S=———. f-1 That is, to obtain the sum of the terms of a progression by quotients, multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. 1. Find the sum of eight terms... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...new series, and is therefore the product of the ratio into the last term in the given series. 373. To find the sum of a geometrical series. Multiply the last term into the ratio, from the product subtract the first term, and divide the remainder by the ratio less... | |
 | Charles Davies - 1845 - 382 σελίδες
...have s_lr-a -T^TT That is, to obtain the sum of any number of terms of a progression by quotients, multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. EXAMPLES. 1. Find the sum... | |
 | James Robinson (of Boston.) - 1847 - 304 σελίδες
...when we have the first term and ratio given. RULE. Find the last term by the rule in Art. 179, then multiply the last term by the ratio, subtract the...product, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of all the terms. 1. If the first term of a geometrical series be 2,... | |
 | Joseph Ray - 1848 - 252 σελίδες
...ar" — a rl — a Iherefore, «= — — ^— = - =•. r — 1 i — l Hence, the RULE, FOR FINDING THE SUM OF A GEOMETRICAL SERIES. Multiply the last term by the ratio, from the product subtract the frst term, and divide the remainder by the ratio less one. EXAMPLES.... | |
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... multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity. 
