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" Terms ; any three of which being given, the other two may be found. This gives rise to twenty distinct cases, a few of the more important of which will be here presented. "
A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ... - Page 306
by George Augustus Walton - 1864 - 348 pages
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 180 pages
...divisor is called the RATIO. 276. In geometrical, as in arithmetical progression, them are FIVE THINGS, any three of which being given, the other two may be found. 1st. The FIRST term. 2nd. The LAST term. 3d. The NUMBER of terms. 4th. The RATIO. 5th. The SUM OF ALL...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1830 - 264 pages
...extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st. Theirs* term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th....
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1831 - 264 pages
...geometrical series. As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st. The/r*< term. 2d. The last term. 3d. The number of terms. 4th. Thereto. 5tn. The sum of...
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1831 - 276 pages
...extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st. The first term. 2d. The last term. 3d. The number of terms. . 4th. The common difference....
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1833 - 268 pages
...geometrical series. As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st The first term. 2d. The last term. 3d. The number of terms. 4th. The ratio. 5th. The sum...
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Taplin's improved edition of Walkingame's Tutor's assistant. To which is ...

Francis Walkingame - 1835 - 270 pages
...1,2,3,4,5. ' j,'* 3x2=5+1 or 3x2=2 + 4.' '''' •'"' ' In this rule, five terms are to be observed, any three of which being given, the other two may be found : viz.. The first term, The last term, The number of terms, The equal difference, and The sum of all...
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Rose's New Arithmetic: An Explanatory and Practical Arithmetic, Adapted to ...

John Rose - Arithmetic - 1835 - 180 pages
...or divisor, by which the series is founded. In Geometrical Progression there are five denominations, any three of which being given, the other two may be found. 1st. The first term. 2d. The last term. 3d. The number of terms. 4th. The ratio. 5th. The sum of the...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1839 - 268 pages
...extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found: — 1st. The first term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th....
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1840 - 264 pages
...extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found: — 1st. Theirs* term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th....
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An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 280 pages
...3—1 The two equations g , q—l contain all the relations of the five quantities a, /, <j, n, and S ; any three of which being given, the other two may be found. It would however be difficult to find n, without the aid of logarithms, which will be explained hereafter....
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