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" Having given the first term, the common difference, and the number of terms, to find the last term. "
Scribner's Engineers' and Mechanics' Companion: Comprising United States ... - Page 11
by J. M. Scribner - 1849 - 264 pages
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...than the number of terms, and add the first term to the product. Hence, we have CASE I. Having given the first term, the common difference, and the number...of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the first term. Q. How...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...number of terms is 48, and the sum of all the terms is 38496. What is the last term ? CASE XI. Given the first term, the common difference, and the number of terms, to find the sum of all the terms. RULE. To twice the first term, add the product of the common difference into...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - Arithmetic - 1841 - 300 pages
...difference, and number of terms being given to find the last term, and sum of all the terms. RULE 1. — Multiply the number of terms, less one, by the common difference, and to that product, add the first term, the sum is the last term. 2. Add the first and last terms together,...
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Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - Arithmetic - 1841 - 268 pages
...the other two may be found. CASE I. — The first term, common difference, and number of terms given, to find the last term. RULE. — Multiply the number of terms, less 1, by the common difference, and add the first term to the product, the sum will then be the last term,...
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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - Arithmetic - 1841 - 300 pages
...and number of terms being given to find the last term, and sum of all the terms. RULE 1.—Multiply the number of terms, less one, by the common difference, and to that product, add the first term, the sum is the last term. 2. Add the first and last terms together,...
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...than the number of terms, and add the first term to the product. Hence, we have CASE I. Having given the first term, the common difference, and the number...of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the first term. 0. How...
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The practical arithmetic

John Darby (teacher of mathematics.) - 1843 - 236 pages
...to exceed the former by 2d. What will her first payment be ? Ans. 3d. PROBLEM V. — Given the least term, the common difference, and the number of terms to find the greatest term. RULE. — Multiply the number of terms by the common difference, to this product add...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 666 pages
...than the number of terms, and add the first terra to the product. Hence, we have CASE I. Having given the first term, the common difference, and the number...of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the first term. Q. How...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...number of additions being 1 less than the number of the term found. Hence, we have CASE I. Having given the first term, the common difference, and the number of terms, to find the last term. RUI.E. Multiply the common difference by 1 less than the number cff terms, and to the product add the...
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A Key, Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - Algebra - 1844 - 110 pages
...that he must travel four yards in addition for each successive stone which he brings. Hence, we have the first term, the common difference, and the number of terms, to find the sum of the series. First, to find the last term, we have l=a+(n— l)r. Making a=4, «=100, and r=4,...
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