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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... "
The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ... - Page 120
by Zadock Thompson - 1838 - 164 pages
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

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....
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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,...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged; Being a Plain ...

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....
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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The Arithmetical Expositor, Or, A Treatise on the Theory and ..., Volume 1

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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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