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" When the two extremes and number of terms are given, to find the common difference. RULE. Divide the difference of the extremes by the number of terms, less one; the quotient will be the common difference. "
The Teacher's Assistant: Or, a System of Practical Arithmetic: Wherein the ... - Page 172
1852 - 192 pages
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Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - Arithmetic - 1772 - 376 pages
...extremes, and number of terms, to find the common difference; that is, given I. II, III. to f1nd IV. RULE. RULE. Divide the difference of the extremes by the number of terms minus un1ty, and the quo1 is the common difference, by Theorem V. EXAMPLE I. A man had 1 2 fons, whofe...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...yards. PROBLEM II. lie first term, iJce last term, and the number of terms being given,, to find ike common' difference. RULE.* Divide the difference of the extremes by the number of terms less i, and the quotient will be the common difference sought. EXAMPLES. i. The extremes are 2 and 53, and...
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The Arithmetical Magazine, Or, Mercantile Accountant: Adapted to the ...

William M. Finlay - Accounting - 1803 - 272 pages
...peculiar properties of Progression. PROBLEM IV. Given the first term, the last term, and number of terms, to find the common difference. RULE.— Divide the...difference of the extremes by the number of •terms less I— the quotient will be the common difference. EXAMPLE. jGhren 3, the first, 39 the last, and 19...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...miles, Ans i . PROBLEM I. Tbejlrtt term, the last term, and the number of terms being given, tojind the common difference. RULE.* Divide the difference of the extremes by the number of terms less 1, and the quotient will be the common difference sought. EXAMPLES. 1st. The extremes are 3 and 39,...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...term, the .last term, and the number of terms being given, to jind the common difference. RULE 3.* Divide the differe'nce of the extremes by the number of terms less 1, and the quotient will be the common difference sought, * The difference of the first and last terms...
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1810 - 222 pages
...two extremes and number of terms are given, and the common difference of all the terms required ; . Divide the difference of the extremes by the number...one,, the quotient will be the common difference. E \X AMPLES. l Admit, a debt be discharged at 16 several payments in arithmetical progression ; the...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1810 - 190 pages
...difference. Hence, when the extremes and number of terms are given, tn fnd the common difference,—' Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. 6. If the extremes be 3 and 603, and the number...
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1813 - 228 pages
...the two extremes and number of terms are given, and the common difference of all the terms required ; RULE. Divide the difference of 'the extremes by the...less one, the quotient will be the common difference. EXAMPLE s;v"1 Admit a debt be discharged at 16 several payments in arithmetical progression ; the first...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - Arithmetic - 1815 - 250 pages
...Jlns. 25 miles, 5 furlongs, 180 yds, PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. Divide...difference of the extremes by the number of terms less 1, and the quotient will be the common difference. EXAMPLE8. 1. The extremes are 3 and 29, and the...
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The Teachers' Assistant, Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1817 - 214 pages
...2. When the two extremes and number of terms are giren, to iiiid the common ,i;flr.a..«Bee. KPLE. Divide the difference of the extremes by the number...quotient will be the common difference. EXAMPLES. 1. 20 and 60 are the two extremes of a certain series m arithmetical progression, and 21 is the number...
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