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" Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ... - Página 89
por Charles Waterhouse - 1842 - 166 páginas
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 páginas
...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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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1842 - 320 páginas
...•*- 5= 5 years, the common difference. A. 5 years. 11. Hence, 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. 12. If the extremes be 3 and 23, and the number of...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - 1842 - 306 páginas
...thirteen in number. We have, then, the following rule for solving sums like the preceding: — iittlt, — Divide the difference of the extremes by the number of terms, less one. The quotient will be the common difference. 2. A man, in N feeble health, commenced a journey,...
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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - 1843 - 254 páginas
...Ans. 33 miles. The first term, last term, and number o/" 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 difference. EXAMPLES. 1. A man bought 17 yards of cloth in arithmetical...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1843 - 320 páginas
...then, 25-^5= 5 years, the common difference. A. 5 years. 11. Hence, to find the common difference, —Divide the difference of the extremes by the number of terms, less 1, and the quotient will 1>e the common difference. 12. If the extremes be 3 and 23, and the number of...
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The National Arithmetic: On the Inductive System, Combining the Analytic and ...

Benjamin Greenleaf - 1843 - 340 páginas
...PROBLEM I. 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 yt diffe less one, and the quotient is the common difference. 1. The extremes are 3 and 45, and the...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - 1844 - 228 páginas
...given, read the parts thus : 1. Given, tJte first term, last term, and number of terms, to find tiie common difference ; or sum of all the terms. RULE....Multiply the sum of the extremes by the number of terms, and half the product will be the sum of all the terms. Qtitf lions. — What is Arithmetical Progression?...
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A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 páginas
...-:- 7 = 3, the common difference; and the whole series 3 : 6 : 9 : 12 : 15: 18 : 21: 24. Hence the RULE. Divide the difference of the extremes by the number of terms less 1, and the quotient will be the " common difference, or ratio of the progression. EXAMPLES FOR PRACTICE....
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - 1844 - 246 páginas
...Then the difference of the extremes 24, must be 8 times the common difference, which is therefore 3. RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. This difference repeatedly added to the less,...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 páginas
...Then the difference of the extremes 24, must be 8 times the common difference, which is therefore 3. RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. This difference repeatedly added to the less,...
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