 | Zadock Thompson - 1838 - 174 sider
...a factor, or, in other words, any term of a geometrical series is the product of the ratio, raised to a power whose index is One less than the number of the term, multiplied by the first term. NOTE. — If the second power of a number, as 2Z, be multiplied... | |
 | Calvin Tracy - 1840 - 326 sider
...FIRST TERM, THE RATIO, AND THE NUMBER OF TERMS GIVEN, TO FIND THE LAST TERM. RULE. — Raise the ratio to a power whose index is one less than the number of terms, and multiply this power by the first term. The product will be the number required. Ex. I. The first... | |
 | Nathan Daboll - 1841 - 250 sider
...than the number expressing the place of the terms sought. 3. Multiply the terms of the geometrica. series together belonging to those indices, and make,...Raise the first term to a power whose index is one Iess than the number of the terms multiplied, and make the result a divisor. 5. Divide, and the quotient... | |
 | Daniel Adams - 1848 - 316 sider
...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 of a... | |
 | Nathan Daboll - 1844 - 254 sider
...than the number expressing the place of the terms sought. 3. Multiply the terms of tlie geometrica. series together belonging to those indices, and make...a power whose index is one less than the number of the terms multiplied, and make the result a divisor. 5. Divide, and the quotient is the term sought.... | |
 | James Bates Thomson - 1844 - 272 sider
...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 <i:d::a3:63 If there are five a, J, c,... | |
 | Samuel Alsop - 1846 - 300 sider
...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... | |
 | Jeremiah Day - 1847 - 358 sider
...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... | |
 | Daniel Adams - 1848 - 322 sider
...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 of a... | |
 | Jeremiah Day, James Bates Thomson - 1848 - 264 sider
...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,... | |
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... sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend, 4. Raise the first term to a power whose index is one less than the number of the terms multiplied, and make the result a... 
