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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. "
The National Arithmetic on the Inductive System: Combining the Analytic and ... - Σελίδα 255
των Benjamin Greenleaf - 1851 - 360 σελίδες
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Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - 1841 - 268 σελίδες
...the hammer of a clock,s striking. 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 of terms, less 1, and the quotient will be the common difference. EXAMPLES. 1. A merchant sold 200 yards of cloth;...

The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - 1841 - 300 σελίδες
...will B overtake A? Ans. 8 hours. 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,...

A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - 1841 - 324 σελίδες
.... , 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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 σελίδες
...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 number...

United States Calculator: Or, Arithmetic Simplified

John M'Nevin - 1841 - 300 σελίδες
...common difference. Illustration of the above question. 40 18 12—1 = 11)22(2 common difference. 22 2. The extremes are 3 and 45, and the number of terms is 22, what is the common difference? Ans. 2. 3. A man received "charity" from 10 different persons, the...

Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - 1842 - 268 σελίδες
...furlongs, 180 yds. PROBLEM II. The first term, the last term, an-J the number of terms given, t° find the common difference. RULE. Divide the difference of the extremes by the number of tern»s less 1, and the quotient will be the common dif^ fljrence. ' EXAMPLE! 1. The extremes are 3...

A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - 1842 - 306 σελίδες
...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, and...

Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - 1842 - 180 σελίδες
...term, last 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...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1842 - 320 σελίδες
...•*- 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...

Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - 1843 - 254 σελίδες
...travel the last day ? 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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