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" Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ... - Page 166
by Daniel Adams - 1810 - 180 pages
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Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - Arithmetic - 1841 - 268 pages
...CASE III. — The extremes and number of terms being given, to find the common difference. RULE. — Divide the difference of the extremes by the number...1, and the quotient will be the common difference. EXAMPLES. 1. A merchant sold 200 yards of cloth; for the first yard he received 4 cents, for the last,...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1841 - 324 pages
...common difference. A. 5 years. 1 1 . Hence, to find the common difference, — Divide the difference af the extremes by the number of terms, less 1, and the quotient will ae the common difference. 12. If the extremes be 3 and 23, and the number of terms 11, what is the...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - Arithmetic - 1841 - 300 pages
...When the first and last terms (or two extremes) are given to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1; the quotient will be the common difference. 1. If the ages of 12 persons are equally different, the...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1841 - 200 pages
...gathers them up singly, returning with them one by one to the basket? Ans. 5 miles, 1300 yards. CASE III. number of terms less 1, and the quotient will be the common difference. Question. — 1. How do you find the common difference? EXAMPLES. 1. The extremes are 2 and 53, and...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...last and first terms, divided by the number of terms, less one, will give the common difference. ROLE. 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 National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...The first term, last term, and the number of terms being given, to find the common difference. RULE. Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference. I. The extremes are 3 and 45, and the number of terms...
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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - Arithmetic - 1841 - 300 pages
...the first and last terms (or two extremes') are given to find the common difference. RULE.—Divide the difference of the extremes by the number of terms less 1; the quotient will be the common difference. 1. If the ages of 12 persons are equally different, the...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...When the extremis and number of terms are given, to find the common difference, ive, have this RULE. Divide the difference of the extremes by the number of terms less l,antl the quotient will be the common difference. 7. If the first term of a series be 3, the last...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1842 - 320 pages
...Thus, 28 — 3= 25 ; then, 25 •*- 5= 5 years, the common difference. A. 5 years. 11. Hence, to find the common difference, — Divide the difference of...1, and the quotient will be the common difference. 12. If the extremes be 3 and 23, and the number of terms 1 1, what is the common difference 1 A. 2....
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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - Arithmetic - 1842 - 178 pages
...term, and number of terms given, to find the common difference ; or, sum of all the terms. RULE. — Divide the difference of the extremes by the number of terms less 1, the quotient will be the difference. Multiply the sum of the extremes by the number of terms, half...
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