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" The sum of all the terms. Any three of which being given, the other two may be found. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 204
by Warren Colburn - 1828 - 276 pages
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The Scholar's Arithmetic: Designed for the Use of Schools in the United States

Jacob Willetts - Arithmetic - 1822 - 200 pages
...Thirdly, the number of terms ; Fourthly, the common difference ; Fifthly, the sum of all the terms ; Any three of which being given, the other two may be found, CASK 1 . The First term, common difference, and number of terms given to find the last term, and the...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...}) d. This formula and the following s _ n(a + 1} contain five different tilings, viz. a, I, n, d, and S; any three of which being given, the other two may be found, by combining the two equations. I shall leave the learner to trace these himself as occasion may require....
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 266 pages
...geometrical series. A§ in arithmetical, so also in geometrical progression, there are fire things, any three of which being given, the other two may be found : — 1st. The first term. 2d. The lust term. 3d. The number of terms. 4th. The ratio. 5th. The sum...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 286 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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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 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 - 294 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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Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - Arithmetic - 1831 - 302 pages
...the first term, the last term, the number of terms, the common difference, and the sum of all terms; any three of which being given, the other two may be found. Case 1st. When the first term, the number of terms, and the common difference are given. to find the...
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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 - 1831 - 276 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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Mercantile Arith

Michael Walsh - 1831 - 348 pages
...2. The last term. •3. The number of terms. 4. The equal difference. 5. The sum of all the terms. , Any three of which being given, the other two may be found. The first, second, and third terms given, to find the fifth. RULE. Multiply the sum of the two extremes...
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