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" The sum of all the terms. Any three of which being given, the other two may be found. "
An Introduction to Algebra upon the Inductive Method of Instruction - Σελίδα 230
των Warren Colburn - 1844 - 276 σελίδες
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The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - 1838 - 346 σελίδες
...term. 2. The last term. 3. The number of terms. 4. The equal difference. 5. The sum of all the terms. Any three of which being given, the other two may be found. The first, second, and third terms given, to find the fifth. RULE. Multiply the sum of the two extremes...

Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1839 - 268 σελίδες
...extremes, and the other terms are called the means. There are five things in arithmetical progression, 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 common difference. 5th....

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

Daniel Adams - 1840 - 278 σελίδες
...extremes, and the other terms are called the means. There are five things in 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....

Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - 1841 - 268 σελίδες
...3d. The number of terms. 3d. The last term. 4th. The common difference. 5lh the sum of all the terms. Any three of which being given, the other two may be found. CASE I. — The first term, common difference, and number of terms given, to find the last term. RULE....

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

Charles Guilford Burnham - 1841 - 324 σελίδες
...considered, viz : the first and last terms, the number, common difference, and sum of all the terms ; any three of which being given the other two may be found. •. J. If I^buy 4 books, giving 2 cents for the first, 4 for the second, and so on, with a common...

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

Almon Ticknor - 1846 - 276 σελίδες
...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...

The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 σελίδες
...first term, the last term, the common difference, the number of terms, and the sum of all the terms ; any three of which being given, the other two may be found. GEOMETRICAL PROGRESSION. Art. 179. GEOMETRICAL PROGRESSION is a series of numbers which increase continually...

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

Benjamin Greenleaf - 1849 - 336 σελίδες
...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...

A New System of Arithmetic on an Improved Plan

Charles Guilford Burnham - 1850 - 350 σελίδες
...considered, viz. : the first and last terms, the number, common difference, and sum of all the terms ; any three of which being given, the other two may be found. 1. If I buy 4 books, giving 2 cents for the first, 4 for the second, and so on, with a common difference...

North American Arithmetic: part third

Frederick Emerson - 1851 - 342 σελίδες
...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....




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