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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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Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...Hence, we divide the difference between 2 and 23, 21, by 8 — 1 = 7, and find the common difference 3. RULE. — Divide the difference of the extremes by the number of terms less 1. 2. The first term is 2, the last term is 17, and the number of terms is 6. What is the common difference...
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry B. Maglathlin - 1894 - 370 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 ly the common differ'...
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Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...Hence, we divide the difference between 2 and 23, 21, by 8 — 1 = 7, and find the common difference 3. RULE. — Divide the difference of the extremes by the number of terms Jess 1. 2. If the extremes of an arithmetical series are 3 and 15, and the number of terms 7, what...
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...difference divided by3(15n-3 = 5) gives one of these additions, that is the common difference. Hence, Bule. Divide the difference of the extremes by the number of -terms less one. 91. The extremes of an arithmetical series are 4 and 55, and the number of terms is 1 8 ; what...
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Higher Book

William Seneca Sutton - 1896 - 342 pages
...difference is 129 — 3 = 126. The common difference is 126 -4- 42 = 3. To find the common difference : 343. Divide the difference of the extremes by the number of terms less 1. 4. The first term is .001 ; the last term is 1,000 ; the number of terms is 1,000,000; find the common...
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Aids to Engineers' Examinations: Prepared for Applicants of All Grades, with ...

Nehemiah Hawkins - Steam engineering - 1898 - 230 pages
...difference J ? 20— l = 19and 19xi=9i; and9£+l = 10|. Ans. Given the number of terms and the extremes, 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 29, and the number of terms...
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Soulé's Philosophic Practical Mathematics: Designed for the Use of ...

George Soulé - Business mathematics - 1910 - 1042 pages
...sum of all the common differences is equal to the difference between the first and last terms, if we divide the difference of the extremes by the number of terms less one, the quotient will be the common difference; hence the Formula, d = l~^\ for ascending, and d =...
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