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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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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 468 pages
...difference of the extremes divided by the number of terms less 1, will be the common difference. Hence the RULE. — Divide the difference of the extremes by the number of terms less 1. EXAMPLES FOR PRACTICE. 1. The extremes of an arithmetical series are 2 and 22, and the number of terms...
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New Practical Arithmetic: for Grammar Departments

James Bates Thomson - 1875 - 384 pages
...number of terms less i ; therefore iS-ig, or 2, is the common difference required. (Art. 93.) Hence, the RULE. — Divide the difference of the extremes ~by the number of terms less i. 9. The ages of 7 sons form an arithmetical series, the youngest being 2, and the eldest 20 years:...
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The Common School Arithmetic: Combining Analysis and Synthesis. Adapted to ...

James Stewart Eaton - 1875 - 327 pages
...divided by 3 (15 -i- 3 = 5), gives one of these additions, ie the common th'fference. Hence, EULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series...
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The Complete Arithmetic

Milton Browning Goff - Arithmetic - 1876 - 452 pages
...number of terms less one is 21 ; and 42 ( = 45 — 3) divided by 21 gives 2, the common difference. 524. RULE. — Divide the difference of the extremes by the number of terms less one. vaoni, E 3i s . What is the common difference when 1. The first term is 1, and the 21st, 41 ?...
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Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1876 - 344 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 series...
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New Practical Arithmetic: for Grammar Departments

James Bates Thomson - 1876 - 400 pages
...I; therefore 18-5-9, or 2, is the common difference required. (Art. 93.) Hence, the RULB.—Divide the difference of the extremes by the number of terms less 1. 9. The ages of 7 sons form an arithmetical series, the youngest being 2, and the eldest 20 years: what...
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Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 404 pages
...divided by 6, the number of 20 — 2 _= I 8 terms less 1, is 3, the common difference. 1 8 -H 6 = 3 Rule. — Divide the difference of the extremes by the number of terms less one. 2. The extremes are 3 and 300 ; the number of terms 10 : find the common difference. 33. 3. A...
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 359 pages
...terms less one ; thus, by taking away 2 in the fifth term, 2 + 3-1-3+3 + 3, we have 3 taken 4 times. RULE. Divide the difference of the extremes by the number of terms less one. 330 ARITHMETICAL PROGRESSION. EXAMPLES FOB PRACTICE. 1. The first term is 2, the last term is...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 528 pages
...substituting the values of the given terms. See Art. 843. Rule. — To find the common difference, divide the difference of the extremes by the number of terms less one. 2. $1600 in 60 years amounts to $8320 ; required the annual interest. Ans. $112. 8. A begins business...
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The Standard Arithmetic: For Schools of All Grades and for ..., Volume 2

James E. Ryan - Arithmetic - 1877
...number of terms. (20— 2)-f-3+l=7. The common difference equals the quotient obtained by dividing the difference of the extremes by the number of terms less 1 (l—a)-~-(n— 1). Example. The difference of the extremes is 24, the number of terms is 13; then...
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