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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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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - Arithmetic - 1868 - 428 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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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 358 pages
...the number of terms less one, the quotient will be the com. diff. Hence, the Rule for Case II. — Divide the difference of the extremes by the number of terms less one; the quotient will be the com. diff. 2. The extremes are 3 and 300; the number of terms 10 : find...
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Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - Arithmetic - 1869 - 350 pages
...the product to the less extreme, or subtract it from the greater. H. To find the common difference. Divide the difference of the extremes by the number of terms less lt III. To find the number of terms. Divide the difference of the extremes by the common difference,...
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms less one. Also, to find the number of terms, Divide the difference of the extremes by the common difference,...
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A Practical Treatise on Arithmetic, Arranged for Pupils in Classes: For the ...

Robert Stewart (of Dundee.) - Arithmetic - 1871 - 248 pages
...travel to bring them, one by one to the basket? CASE II. When the extremes and the number of terms are given, to find the common difference. RULE. — Divide the difference of the extremes by one less than the number of terms, the quotient is the common difference. 5. In an arithmetical series...
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Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1871 - 350 pages
...divided by the number of common differences, 9, the quotient, 3, will be the common difference. Hence the RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. . EXAMPLES FOR PRACTICE. 1. The extremes of a...
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A Treatise on Arithmetic ...

James Stewart Eaton - 1872 - 402 pages
...additions ; ie the concnon difference. Hence, 3<16. PROB. 2. — The extremes and number of terms beinj given, to find the common difference, RULE. — Divide the difference of the extremes by the numbet of terms less one, and the quotient will be the common difference. Ex. 1. The extremes of an...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...rules : — RULE II. — The extremes and number of terms being given, to find, the common difference, divide the difference of the extremes by the number of terms less 1. RULE III. — The extremes and common difference being given, to find the number of terms, divide the...
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The Principles of Arithmetic ...

Joseph Ray - 1856 - 400 pages
...Ans. 2281 J ART. 412. To find the common difference, when the extremes and number of terms are known. RULE. — Divide the difference of the extremes by the number of terms less one. 1. Find the common difference of a series whose extremes are 8 and 28, and number of terms, 6....
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms less one. Also, to find the number of terms, Divide the difference of the extremes by the common difference,...
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