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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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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1850 - 342 pages
...the first term, the last term, and the number of terms, to find the common difference, we have this RULE. Divide the difference of the extremes by the number of terms, less one. EXAMPLES. 1 . The first term of an arithmetical progression is 5, the last term is 176, and the...
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The scholar's guide to arithmetic; or, A complete exercise-book

John Bonnycastle - 1851
...of terms, being given, to find the common difference. RULE.1)Divide the difference of the extremos by the number of terms less 1, and the quotient will be the common difference required. * If ii = the first term, l — \ast term, n = number of terms, rf=common difference, and...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach, William Draper Swan - Arithmetic - 1851 - 276 pages
...found. 312. To find the common difference when the two extremes and the number of terms are. known,-— RULE. Divide the difference of the extremes by the number of \ terms , less one , and the quotient will be the common difference. This rule may be represented by the formula,...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...quotient will be the common difference. Thus, 27 -fr- 9 = 3, the common difference. Hence the following RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference. • EXAMPLES FOR PRACTICE. 1. The extremes of a series...
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The Western Practical Arithmetic ...: Containing a Great Variety of ...

Arithmetic - 1851 - 260 pages
...and the last, or fifty-second, payment $1236 ? Ans. 32448. NOTE &. —To find the common difference, divide the difference of the extremes by the number of terms, less one. EXAMPLES. 1 The ages of 8 boys form an arithmetical series-— the youngest is 4 years old and...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1852 - 360 pages
...the number of common differences, the quotient will be the common difference. Thus 16 -T- 8 = 2 is the common difference. RULE. — Divide the difference of the extremes by the number of term* lesŤ one, and the quottent is the common difference. 1. The extremes are 3 and 45, and the number...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1853 - 303 pages
...far did he travel the last day ? 12—lx5-f-3 = 58 Aris.When the Number of Terms and the Extremes are given., to find the Common Difference. RULE. — Divide the difference of the extremes, by one less than the number of terms. EXAMPLE. — The extremes are 3 and 15, and the number of terms...
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The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - Arithmetic - 1853 - 316 pages
...Ans. 6. CASE IV. 1. To find the COMMON DIFFERENCE, knowing the Extremes and the Number of terms. 2. RULE. Divide the difference of the extremes by the number of terms less by 1. 3. Thus, the extremes being 8 and 2258, the number of terms being 76 ; what will be the common...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 626 pages
...found. 312. To find the common difference when the two extvsmes and the number of terms are known, — RULE. Divide the difference of the extremes by the number of terms, less one, and the quotient will be the common difference. This rule may be represented by the formula, thus...
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The New Federal Calculator, Or Scholar's Assistant

Thomas Tucker Smiley - Arithmetic - 1854 - 196 pages
...product will be the sum of all the terms. CoteZ. 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. Questions. Name the five things which should be particularly...
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