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" Multiply the sum of the extremes by the number of terms, and half the product will be the sum of all the terms. "
Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ... - Page 246
by Roswell Chamberlain Smith - 1831 - 268 pages
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - Algebra - 1730 - 702 pages
...fliewn that</x«— -i=s/— -л. and dividing equally by » — i, it is</= *. Ж *^~ I 2. For ti multiply the Sum of the Extremes by the Number of Terms, and take half of the Produo, it's the Sum : Thus *= *"HX*. E*a*,fk: - = 3./=iy.» = 7. then is /==6, —...
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1785 - 350 pages
...Terms. Any three of which being given, the other two may be found. PRO- I « PR-O POSITION I. When two Extremes and the Number ,of Terms are given, to find the Sum of all the Series or Terms. RULE. Multiply the Sum of the two Extremes into the Number of Terms, and divide the...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...term, the last term, and the number of terms behtg given, to find the sum of all the terms. RULE.* Multiply the sum of the extremes by the number of terms,, and half the product will be the answer. EXAMPLES. * Suppose another series of the same kind with the given...
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A Treatise of Practical Arithmetic and Bookkeeping, by Single Entry

William Tinwell - Arithmetic - 1805 - 212 pages
...number of terms. 4.. The common différence* 5. The fum of all the terms., PROPOSITION, i. r; ;'«i" When the extremes and the number of terms are given, to find the fum of all the terms. RULE. — -Multiply the fum of the extremes by the number of terms, and half...
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1806 - 342 pages
...Ratio of If. What is the Share of the eldest ? PROPOSITION III. When the first Term, Ratio, and Numbar of Terms, are given, to find the Sum of all the Terms. RULE. Find the last Term as before, from which take the first : divide the Remainder by the Ratio,...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...all the termso PR0BLEM 1. Thejirst term, the last term, and the number of terms beinggiven, to jind the sum of all the terms, Multiply the sum of the extremes by the number of terms, and half the product will be the answer. EXAMPLES. 1. The first term of an arithmetical progrrssion is...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...term, the last term, and the number of terms being given, tojind the sum of all the terms. RuLE.f — Multiply the sum of the extremes by the number of terms, and half the producl will be the answer. EXAMPLES. • The difference of the firft and laft terms evidently...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1810 - 190 pages
...= average price ; and the price, 132* cts. \ . X 1UO = 13230 cts. = $132'30, whole cost. , $ *"'• Hence, when the extremes and the number of terms are given, to find the sum of all tfta terms, — Multiply one half the sum of the extremes by the number of terms, and the product will...
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Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814 - 300 pages
...the flitretnes, ami the Number of Term«, ft given, loßnd the Sum of all the Terms;— Multiply half the sum of the extremes by the number of terms, and the product will be the answer. in. If the ertiemes be 3 and 373, and the number of terms 40, what is thesis» •Tall the terms? .4.651»....
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Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - Arithmetic - 1815 - 250 pages
...Problems ; but mast of them are best understood by an algebraic process, iand »re here omiti.".' t RULE. Multiply the sum of the extremes by the number of terms, and half the product wiH be the answer. EXAMPLE8. ). The first term of an arithmetical series is 3, the...
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