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" Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. "
The New Complete System of Arithmetic: Composed for the Use of the Citizens ... - Page 243
by Nicolas Pike - 1802 - 352 pages
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Daboll's Schoolmaster's Assistant: Improved and Enlarged: Being a Plain ...

Nathan Daboll - Arithmetic - 1829 - 268 pages
...thewhol* debt. PROBLEM III Given the first term, last term, and common difference, to find the numbei of terms RULE. Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number o» terms EXAMPLES. 1. If the extremes be 3 and 45, and the coamon difference...
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Practical and Mental Arithmetic: On a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - Arithmetic - 1830 - 286 pages
...A. l2. Hence, when the extremes aiid common difference are given, to find the number of terms ; — Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will If e the answer. 17. If the extremes be 3 and 45j and the common difference 6,...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...Prub. II. PROBLEM IV. — The extremes and the common difference of the terms being given, to find the number of terms. RULE.— Divide the difference of the extremes by the common difference of the terms, and the quotient, increased by 1, will be the answer. "„ Ex. 1. If the extremes be...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1831 - 286 pages
...terms. A. 32. Hence, when the extremes and common difference are given, to und the number of terms ; — Divide the difference of the extremes by the common difference^. and the quotiejil, increased by 1, will be the answer. 17. If the extremes bo 3 and 45, aud the common ilifloronce...
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 182 pages
...and 4+1=) 5 Ans. Hence, III. The first term, the lost term, and the common- difference given to find the number of terms. RULE. — Divide the difference...extremes by the common difference, and the quotient, increased by 1, will be the answer. 2. If the first term of a series be 8, the last 108, and the common...
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...and 4+1—) 5 Ans. Hence, III. The first term, the last term, and the common difference given to find the number of terms. RULE. — Divide the difference...extremes by the common difference, and the quotient, increased by 1, will be the answer. 2. If the first term of a series be 8, the last 108, and the common...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1832 - 544 pages
...=9X8=72, and 1+2+3+4+5+6+7+8=— =36 PROBLEM III. Gil-en the extremes and the common difference, to find the number of terms. RULE.* Divide the difference...extremes by the common difference, and the quotient increased by 1 will be the number ef terms required. EXAMPLES. 1st. The extremes are 3 and 39, and...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...the whole distance 366 miles. Case 3. The ttvo extremes and the common difference being given, lojind the number of terms. RULE. Divide the difference of...extremes by the common difference, and the quotient increased by unity is the number sought. (6) A person travelling into the country, went 3 miles the...
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The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - Arithmetic - 1834 - 300 pages
...also the number of miles travelled. PROBLEM iII. The extremes and common difference given, to find the number of terms. RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient; the sum will be the number of terms. The difference of the extremes divided...
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Rose's New Arithmetic: An Explanatory and Practical Arithmetic, Adapted to ...

John Rose - Arithmetic - 1835 - 192 pages
...Given the extremes (the first and last terms,) and the common difference, to find the number of terms. Divide the difference of the extremes, by the common difference, and the quotient increased by 1 will be the number of terms required. 1. The extremes are 2 and 53, and the common difference...
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