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" Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terms. "
The Tutor's Guide: Being a Complete System of Arithmetic; with Various ... - Page 135
by Charles Vyse - 1815 - 320 pages
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A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ...

Paul Deighan - Arithmetic - 1804 - 504 pages
...three of the following terms being given, the reft may be found. * Th Iftr"1"'! ca^ec* tne E*tr«nes. 3. The Number of Terms, 4. The Ratio. 5. The Sum of all the Terms. Any three numbers in geometrical progreflion will form an analogy, by making the confequent...
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1806 - 342 pages
...10. 6X2=2+ 10=12 and 6X2=4+8=12. In Arithmetical- Progression there are five Things to be observed, viz. 1. The first Term. •2. The last Term." 3. The Number of Terms. 4. The common Excess or Difference. 5. The Aggregate Sum of all the Terms. Any three of which being given,...
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Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814 - 300 pages
...Progression there are reckoned 5 terms, any three of which being given, the remaining two may b* found, viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. Tht First Term, the Last Term, and the Number of Tema,...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - Mathematics - 1814
...progression ; namely, 1. The least term, •> „ , _ _. > called the extremes. 2. The greatest term, J 3. The number of terms. 4. The ratio. 5. The sum of all the terms. Any three of these five being given, the remaining two may be found, as follows. 296....
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A New System of Mercantile Arithmetic: Adapted to the Commerce of the United ...

Michael Walsh - Arithmetic - 1816 - 275 pages
...2X32=4X16=8X8=64. In Geometrical Progression the same five things are tp be observed as in Arithmetical, viz. .]. The first term. 2. The last term. 3. The number of terms. 4. The equal difference or ratio: . , 5. The sum of all the terms. NeTE. As the last term in a long series...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

Arithmetic - 1818 - 251 pages
...EXTREMES. Any three of the five following terms being given, the oth^p two may be readily found. ' ', 1. The first term. . . 2. The last term. 3. The number of terms. 4. The comtnpn difference. 5. The sum of all the terms. PROBLEM I. The first term, the last term, and the...
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The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - Arithmetic - 1828 - 348 pages
...cube, and other roots proved ? ARITHMETICAL PROGRESSION. THERE are fire particulars to be observed in Arithmetical Progression, viz. : — 1. The first...term. 2. The last term. 3. The number of terms. 4. The common difference 5. The sum of all the terms. Any three of the foregoing being given, the other two...
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The Mercantile Arithmetic, Adapted to the Commerce of the United States, in ...

Michael Walsh - Arithmetic - 1828 - 314 pages
...4X16=8X8=64. In Geometrical Progression the same five things are to be observed,, as in Arithmetical, viz. 1. The first term. 2. The last term. 3. The number of terms. NOTE. Aa the last term in a long series of numbers, is very t«. dious to come at, bj continual multiplication...
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Connolly's Arithmetic: Or, The Ohio Accomptant: Being a Plain Practical ...

James L. Connolly (mathematician.) - Arithmetic - 1829 - 250 pages
...2x32 = 64, and 4X16 = 64. The five things in arithmetical progression are to be pttstrved here also. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference, or ratio. 5. The sum of all the terms. As the last term, in a long series of numbers,...
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A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - Arithmetic - 1830 - 288 pages
...Arithmetical Progression. Any three of the five following terms being given, the other lico may be found. 1. The first term. 2. The last term. 3. The number of terms. 4. The ratio. 5. The sum of all the terms. 1. A man bought 5 sheep, giving $1 for the first ; $3 for the second ; $9 for the third,...
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