 | Almon Ticknor - Arithmetic - 1846 - 276 pages
...thus: 2, 2x21, 2x22,'2x2.3, 2x24, &c. Any power after the first is evidently that power of the ratio whose index is one less than the number of the term multiplied by the first term ; thus the third term is 2 x22, the 4th term is 2x23, and the 8th term would be 2 X27, &c. In an ascending... | |
 | Frederic A. Adams - Arithmetic - 1846 - 230 pages
...first term X the third power of the ratio. Thus each term consists of the first term multiplied by the ratio, raised to a power whose index is one less than the number expressing the place of the term. 1. What is the 7th term in the series 1, 4, 16, &c. ? 2. What is... | |
 | Samuel Alsop - Algebra - 1846 - 300 pages
...divisor to be used in all the subsequent parts of the operation, raise the root already determined to a power whose index is one less than the number of the root to be extracted, and multiply by said number. Divide the first term of the remainder by the divisor,... | |
 | Frederic A. Adams - Arithmetic - 1847 - 238 pages
...first term X the third power of the ratio* Thus each term consists of the first term multiplied by the ratio, raised to a power whose index is one less than the member expressing the place of the term. 1. What is the 7th term in the scries 1, 4, 16, &c. ? 2. What... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...continued proportion, the ratio of the first to the last is equal to one of the intervening ratios raised to a power whose index is one less than the number of quantities. If there are four proportionals a, b, c, d, then a : d : : a 3 : b 3 If there are five... | |
 | Samuel Alsop - Algebra - 1848 - 336 pages
...divisor to be used in all the subsequent parts of the operation, raise the root -already determined to a power whose index is one less than the number of the root to be extracted, and multiply by said number. Divide the first term of the remainder by the divisor,... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...continued proportion, the ratio of the first to the last is equal to one of the intervening ratios raised to a power whose index is one less than the number of quantities. If there are four proportionals a, b, c, d, then a:d::a3:b3 If there are five a, b, c,... | |
 | Daniel Adams - Arithmetic - 1848 - 322 pages
...term, ratio, and number of terms being given, to find the sum, of the series, RULE. Raise the ratio to a power whose index is one less than the number of terms, from which subtract 1, and divide the remainder by the ratio less 1 ; the quotient is the sum... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...the first term, ratio, and number of terms, we can readily find the last term by involving the ratio to a power whose index is one less than the number of terms, and multiplying this result by the first term. So from understanding the composition of the... | |
 | Uriah Parke - Arithmetic - 1850 - 402 pages
...the first term, ratio, and number of terms, we can readily find the last term by involving the ratio to a power whose index is one less than the number of terms, and multiplying this result by the first term. So from understanding the composition of the... | |
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Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend. 4. Raise... 
