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Terms ; any three of which being given, the other two may be found. This gives rise to twenty distinct cases, a few of the more important of which will be here presented.
A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ... - Page 306
by George Augustus Walton - 1864 - 348 pages

## The Columbian Calculator; Being a Practical and Concise System of Decimal ...

Almon Ticknor - Arithmetic - 1846 - 274 pages
...16, 8, 4, 2, decrease continually by the divisor 2, &c. In this rule there are five denominations, any three of which being given, the other two may be found : 1st, the first term ; 2d, the last term ; 3d, the number of terms ; 4th, the ratio ; 5th, the sum...

## Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...descending series ? What are the extremes of a series ? What the means ? What five things are mentioned, any three of which being given, the other two may be found ? 2 6 138 5*4 1&2 486 1458 The factors of 1458, are 3, 3, 3, 3, 3, 3, and 2, the last of which is the...

## North American Arithmetic: part third

Frederick Emerson - Arithmetic - 1851 - 342 pages
...What by the common difference ? What is Theorem 1st ? 2d? 3d? 4th? What five things are mentioned, any three of which being given, the other two may be found ? I. The extremes and number of terms being given, how can you find the sum of all the terms ? II....

## Rational arithmetic

Sarah Porter - 1852 - 286 pages
...„ L 3. The number of terms ,, N 4. The common difference „ D 5. The sum of all the terms „ S Any three of which being given, the other two may be found. The following, is a summary of all we have already proved by the preceding investigation : — S =...

## The tutor's assistant

Francis Walkingame - 1855 - 186 pages
...last term I. 3. The number of terms те. 4. The equal difference d. 5. The sum of all the terms S. Any three of which being given, the other two may be found. The first, second, and third of the above five things given, to find the fifih. RULE. Multiply the...

## Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...descending series ? What are the extremes of a series ? What the means ? What five things aro mentioned, any three of which being given, the other two may be found ? I 2 6 18 54 162 486 1458 The factors of 1458 are 3, 3, 3, 3, 3, 3, and 2, the last of which is the...

## The Progressive Practical Arithmetic, Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - 1859 - 348 pages
...the difference between any two adjacent terms. 437. There are Jive parts in an arithmetical series, any three of which being given, the other two may be found. They are as follows : the first term, last term, common difference, number of terms, and sum of all...

## Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - Arithmetic - 1861 - 454 pages
...extremes, and the other terms are called the means. There are five things in an arithmetical progression, any three of which being given, the other two may be found : 1st. Theirs* term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th. The...