| Nicolas Pike - Algebra - 1808 - 480 pages
...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** terms multiplied, and make the result a divisor, by which divide the dividend, and the quotient will... | |
| Nathan Daboll - Arithmetic - 1815 - 240 pages
...series together belonging to those indices, and make the product a dividend. 4. Raise tha first term **to 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. EXAMPLE8.... | |
| Arithmetic - 1818 - 251 pages
...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** terms multiplied, and make the result a diivisor. 5. Divide the dividend by the divisor, and the quotient... | |
| Jeremiah Day - Algebra - 1820 - 332 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 /ciMrgfoportionalsff, b, c, d, then a:d::a3 :63. If there are five a,b,c,d,e,... | |
| Nathan Daboll - Arithmetic - 1820 - 240 pages
...series together belonging to those indices, and make the product a dividend. 4. Raise th» first term in **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. EXAMPLES.... | |
| Nicolas Pike - Arithmetic - 1822 - 532 pages
...2X2', 2Xi3, '-!X23, 2X24, and so on. Any term after the firat is evidently that power of the rutio **whose index is one less than the number of the term multiplied by the first term.** Thus, the 3d term is 2X2" ; the 4th term is 2X23, and tlie 8th term •would be 2X2T, ami so on. In... | |
| Nicolas Pike - Arithmetic - 1822 - 532 pages
...2X2>, 8X?a, 2X21. 2X2-', anil so on. Any term alter the first is evidently that power of the ratio **whose index is one less than the number of the term multiplied by the** lint term. Thus, the 3d term is 2x2^ ; the 4th term is2X2:1, aud the ittli term would be 2X27. and... | |
| Nicolas Pike - Arithmetic - 1832 - 532 pages
...2X2',2XS',andsoon. Any term after tlie first is evidently that rnwerof the ratio whose index is с ne **less than the number of the term multiplied by the first term.** Thus, tlie 3d term is 2X2' ; the 4th 'term is 2X23, »nil Ihn üth term would be 2x27i und soon. In... | |
| Enoch Lewis - Arithmetic - 1824
...first term being multiplied once by the ratio for every subsequent term, the ratio will evidently rise **to a power whose index is one less than the number of** terms. (50.) To find the sum of the series. First, suppose the ratio 2; and let AB, EC, CD, denote... | |
| Jeremiah Day - Algebra - 1827 - 332 pages
...continued proportion, the rjitio 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 •... | |
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