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" PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct. "
The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ... - Page 118
by Zadock Thompson - 1838 - 164 pages
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...equal to the common difference multiplied by the number of terms less 1, (706), we have the following RULE. Divide the difference of the extremes by the number of terms less 1. EXAMPLES FOR PRACTICE. 1. If the extremes of an arithmetical series are 3 and 15, and the number of...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1860 - 456 pages
...3 = 42, divided by the number of common differences, 21, gives 2 as the common difference required. RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. EXAMPLES. 2. A certain school consists of 19 teachers...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 332 pages
...it from it, if the series be DESCENDING. (2). The first term, number of terms, and last term being given to find the common difference. RULE. — Divide...difference of the extremes by the number of terms, less one. (3). The first term, common difference, and last term being given to find the number of terms....
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Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - Arithmetic - 1861 - 454 pages
...RULE. Divide the whole number added or subtracted, by the number of additions or subtractions, that is, the difference of the extremes by the number of terms less 1, and the quotient is the number added or subtracted at one time, or the common difference. EXAMPLES. 2. If the extremes...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862
...difference, divided by 3 (15 -s- 3 = 5), gives one of these additions, ie the common difference. Hence, RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series...
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The civil service arithmetic. [With] A key, Book 1

Robert Johnston (F.R.G.S.) - 1863
...7, what is the sum of the series ? 27 8 Sum of extremes"=30 ; then - — — 15 x7 = 105 Ans. 161. To find the Common Difference. RULE. — Divide the difference of the extremes by one less than the number of terms. Ex. 2. The extremes are 2 and 39j and the number of terms 13, what...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - Arithmetic - 1864 - 312 pages
...difference, divided by 3 (16 -=-3 = 5), gives one of these additions, ie the common difference. Hence, RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series...
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The New Federal Calculator, Or Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - 1868 - 240 pages
...product will be the sum of all the terms. Case 1. When the first and last terms (or two extremes,) are given to find the common difference. Rule. Divide...difference of the extremes by the number of terms, less 1 ; the quotient will be the common difference. Questimu. What is Arithmetical Progression ? Name the...
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Stoddard's Complete Arithmetic: Being the New Practical Arithmetic of the ...

John Fair Stoddard - Arithmetic - 1888 - 480 pages
...term*, to find U-- common difference. ANALYSIS. — Since a + (n — l)c=l. c= ~a. Hence, the n— 1 Rule. — Divide the difference of the extremes by the number of terms less one. 1. The first term is 8, the last term 203, and the nnmber of terms 40 ; what is the common difference...
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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - Arithmetic - 1868 - 430 pages
...terms, to find the common difference. ANALYSIS.— Since a + (n— l)c=lc=1—a. Hence, the n— 1 Rule. — Divide the difference of the extremes by the number of terms less one. 1. The first term is 8, the last term 203, and the number of terms 40 ; what is the common difference...
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