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In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
University Algebra: Embracing a Logical Development of the Science, with ... - Page 236
by Charles Davies - 1870

## The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - Arithmetic - 1825 - 224 pages
...11, 9, 7, 5, 3, 1. There are five things to be particularly attended to in Arithmetical Progression, the first term, the last term, the number of terms, the common difference, and the sum of all the terms. / Case 1. The first term, common difference, and number of terms being given to find...

## The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...called the extreme. If any three of the five following things be given, the other two are readily found, viz.. the first term, the last term, the number of terms, the common difference, and the sum of all the terms. Problem I. The first term, the last term, and the number of terms given, to find the...

## The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 pages
...THINGS in arithmetical progression, any three of which being given, the other two nlay be found. 1st. The FIRST term. The LAST term. The NUMBER of terms. The COMMON DIFFERENCE. The SUM OF ALL THE TERMS. 1. Bought 10yds. of cloth, giving 3 cents for the first yard, 5 for the second,...

## The Federal Calculator; Or, Scholar's Assistant : Containing the Most ...

Thomas Tucker Smiley - 1830 - 188 pages
...3,2,1; 11,9,7,5,3, 1. There are five things to be particularly attended to in Arithmetical Progression; the 'first term, the last term, the number of terms, the common difference, and the sum of all the terms. . Case 1. The first term, common difference, and number of terms, being given, to find...

## The New Federal Calculator: Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - Arithmetic - 1830 - 192 pages
...11,9, 7, 5, 3, 1. There are five things to be particularly attended to in Arithmetical Progression; the first term, the last term, the number of terms, the common diIference, and the sum of all the terms. Case 1. The first term, common diiference, and number of...

## Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - Arithmetic - 1831 - 302 pages
...3 x 12. In geometrical progression, as in arithmetical progression, there are five things observed, viz. the first term, the last term, the number of terms, the ratio, and the sum of all the terms; any three of them being known, the rest may be found, CASE I....

## The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - Arithmetic - 1834 - 300 pages
...must be 72. Any three of the 6ve following things being given, the other two may be readily found. The first term. The last term. The number of terms. The common difference. The sum of all the terms. PROBLEM. I. The extremes and number of terms being given, to find the sum...

## Taplin's improved edition of Walkingame's Tutor's assistant. To which is ...

Francis Walkingame - 1835 - 270 pages
...this rule, five terms are to be observed, any three of which being given, the other two may be found : viz.. The first term, The last term, The number of terms, The equal difference, and The sum of all the terms. RULE I. The first, second, and third terms given, to...