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" Multiply the sum of the two extremes by the number of terms, and half the product will be the sum of all the terms. "
Elements of Arithmetic - Page 187
by Etienne Bézout - 1824 - 219 pages
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The Teachers' Assistant: Or, A System of Practical Arithmetic ...

Arithmetic - 1831 - 210 pages
...by the '[common difference, and to the product add the first jlterm, the sum is the last term. | 2. Multiply the sum of the two extremes by the ! number...The first term of a certain series in arithmetical number of terms 15; what is the last term, and the sum of all the terms? 1 5 number of terms. 30 ^...
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The Teacher's Assistant: Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1831 - 198 pages
...less 1, by the rommon difference, and to the product add the first term, the sum is the last term. 2. Multiply the sum of the two extremes by the number...product will be the sum of all the terms. EXAMPLES. number of terms 15; what is the last term, and the sum of all the terms? 1 5 number of terms. 30 £...
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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 and last terms,) and the number of terms are given, to find the sum of all the terms, Rule. Multiply the sum of the two extremes, by the number of terms, and half the product will be the answer. Or, multiply the sum of the two extremes by half the number of terms. * In any series of numbers,...
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The Juvenile Arithmetick, and Scholar's Guide: Illustrated with Familiar ...

Martin Ruter - Arithmetic - 1831 - 190 pages
...term, the sum will be the Inst. Add the firtt and last termstogether, multiply their sum by the numler of terms, and half the product will be the sum of all terms. EXAMPLES. 1. The first term in a certain series is 3, the common difference 2, and the number...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...The I wo extremes, and the number of terms being given, loßnd ihe sum. RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the answer.* (1) How many strokes does the hammer of a clock strike in 12 hours ft (2) A man bought 17...
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The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - Arithmetic - 1834 - 300 pages
...given, to find the sum of all the terms. RULE. Multiply the sum of the extremes by the number of the terms, and half the product will be the sum of all the terms. See Theorem 4th. 1. The first term in an equidifferent series, is 3, the last term 19, and the number...
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The American Student's Guide: Containing a Compendious System of Theoretical ...

George Alfred - Arithmetic - 1834 - 336 pages
...the sum of all the terms ; or, multiply the sum of 'the two extremes by half the number of terms, and the product will be the sum of all the terms. EXAMPLES. 1. A merchant sold 19 yards of shalloon at 3cts. for the'first yd. 5cts. for the second, 7cts. for the...
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The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - Arithmetic - 1835 - 210 pages
...less 1, by the common difference, and to the product add the first ,erm, the sum is fhe. last term. 2. Multiply the sum of the two extremes by the number...half the product will be the sum of all the terms. EXAHPLES. 1. The first term of a certain series in arithmetical progression is 2, the common difference...
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The Western Arithmetic: Or, Pennsylvania and Ohio Accomptant: Being a Plain ...

James L. Connolly (mathematician.) - Arithmetic - 1835 - 264 pages
...The first term, the last term, and ike number of terms, given to find the sum of all the terms. RULE. Multiply the sum of the two extremes by the number of terms, and half that product will be the answer; or multiply the sum of the two extremes by half the number of terms;...
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The New System of Practical Arithmetic: Whereby Most of the Various Problems ...

Charles Potts - Arithmetic - 1835 - 202 pages
...add the first term ; the sun is the last term. 2. Multiply the sum of the two extremes by the numbe of terms, and half the product will be the sum of all thi terms. EXAMPLES. 1. Given the least term 3, the common difference 2, an the number of terms 9,...
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