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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

## The Teacher's Assistant: Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1831 - 198 pages
...were afterwards sold at 12 for a farthing? Ans. 86L. 17s. lOd. CASE 2. ARITHMETICAL PROGRESSION. 173 RULE. Divide the difference of the extremes by the number of terms, less one; the quotient will be the common difference. EXAMPLES. 1 . Twenty and sixty are the two extremes...

## A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1832 - 544 pages
...5. The sum of all the terms. PROBLEM I. The first term, the last term, and the number of terms being given, to find the common difference. RULE* Divide...1, and the quotient will be the common difference sought. EXAMPLES. 1st. The extremes are 3 and 39, and the number of terms is 19 : What is the common...

## A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger (A.B.) - Arithmetic - 1832 - 288 pages
...difference of the hammer of a clock's striking. CASE III. — The extremes and number of terms being .given, to find the common difference. RULE — Divide...1, and the quotient will be the common difference. EXAMPLES. 1. A merchant sold 200 yards of cloth ; for the first yard he received 4 cents, for the last,...

## The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 168 pages
...the common difference. Hence, II. The first term, the last term, and the number of term* given to fmd the common difference. RULE. — Divide the difference...1, and the quotient will be the common difference. 2. If the first term of a series be 8, the last 108, and the number of terms 21, what is the common...

## The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 188 pages
...1=4; 8 then is the amount of 4 equal differences, and 4 ) 8 (=2, the common difference. Hence, II. The first term, the last term, and the number of terms given to find ike common difference. RULE. — Divide the difference of the extremes by the number «f terms, less...

## The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833
...egg to put it into the basket ? Ans. 5 miles, 1 300 yards. Case 2. The same three terms giren, tojind the common difference. RULE. Divide the difference...number of terms less 1 ; and the quotient will be the answer. (4) A man had eight sons, whose ages were in arithmetical progression ; the youngest being...

## Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1833 - 264 pages
...difference. ' Hence, when the extremes and number of terms are given, • to find the common difference, — Divide the difference of the extremes by the number...1, and the quotient will be the common difference. 6. If the extremes be 5 and 605, and the number of terms 151, what is the common difference ? Ans....

## Arithmetic Simplified in Three Parts

Catharine Esther Beecher - Arithmetic - 1833 - 283 pages
...difference. Hence, when the extremes and number of terms are given, to find the common difference, Divide the difference of the extremes, by the number of terms less 1. 2. Extremes 3 and 19 ; number of terms 9. Required the common difference. A. 2. 3. Extremes 4 and 56...

## The American Student's Guide: Containing a Compendious System of Theoretical ...

George Alfred - Arithmetic - 1834 - 312 pages
...the two extremes and the number of terms are given, to find the common difference of all the terms. RULE. Divide the difference of the extremes by the...1, and the quotient will be the common difference of all the terms. / , m . EXAMPLES. ' .:•• " ' : . 1. A certain debt is to be discharged in a year...

## The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - Arithmetic - 1834 - 288 pages
...find the common difference. RULE. Subtract the less extreme from the greater, and divide the remainder by the number of terms less 1 , and the quotient will be the common difference. It has been shown under Theorem 3d. that the difference of the extremes is found by multiplying the...