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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. "
Welch's Improved American Arithmetic: Adapted to the Currency of the United ... - Σελίδα 149
1846 - 218 σελίδες
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John Mair - 1772 - 376 σελίδες
...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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...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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William M. Finlay - 1803 - 272 σελίδες
...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...

A Treatise of Practical Arithmetic and Bookkeeping, by Single Entry

William Tinwell - 1805 - 212 σελίδες
...5oo0 yards, or 2 miles and 1^SoyarJt* PROPOSITION 2. When the extremes and the number of terms are given to find the common difference. RULE. — Divide the difference of the extremes, by one lefs than the number of terms, and the quotient will be the anfwer. 1. If the extremes be 2 and...

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1

Samuel Webber - 1808 - 466 σελίδες
...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...1, and the quotient will be the common difference sought, * The difference of the first and last terms evidently shows the increase of the first term...

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Nicolas Pike - 1808 - 470 σελίδες
...hast term. RULE. — Divide the greatest term by such power of the ratio, •whose index is equal to the number of terms less 1, and the quotient will be the least term. EXAMPLE. If the ratio be 2, the number of terms 6, and the greatest term 18 : What is die...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1810 - 190 σελίδες
...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...1, and the quotient will be the common difference. 6. If the extremes be 3 and 603, and the number of terms 131, whnt is the common difference 7 Ans....

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Zachariah Jess - 1810 - 222 σελίδες
...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 of terms, less one,, the quotient will be the common difference. E \X AMPLES. l Admit, a debt be discharged at 16...

The Teachers Assistant. Or, A System of Practical Arithmetic: Wherein the ...

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...CASE 2. When, the two extremes and number of ternis are given, to find the common difference. RULÉ. . Divide 'the difference of the extremes by the number of terms, less one ; the quotient will be the .common difference. EkAMPLES. , j 1. 20 and 60 are the two extremes...

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Nathan Daboll - 1813 - 244 σελίδες
...Ans. 23 miles, 5 furlongs, 180 yds. PROBLEM 11. 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 'f terms leas I... and the quotient will be the common difference. EXAMPLES. 1. The extremes are 3...




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