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" The sum of all the terms. Any three of which being given, the other two may be found. "
Written Arithmetic - Page 306
by George Augustus Walton - 1876
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Rational arithmetic

Sarah Porter - Arithmetic - 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 =...
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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...
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A New System of Arithmetic, on an Improved Plan, Embracing the Rules of ...

Charles Guilford Burnham - 1857 - 342 pages
...are to be 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...
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Burnham's Arithmetic, Revised: A New System of Arithmetic, on an Improved ...

Charles Guilford Burnham - Arithmetic - 1857 - 328 pages
...are to be 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...
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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...
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Walkingame's Arithmetic Simplified ...

Francis Walkinghame - 1859 - 200 pages
...«tremes. Let <и= the number of terms, jd= the common difference or equidifference. * s = the sum of all the terms. Any three of which being given, the other two may be found. I. The first, second, and third terms given to find thefißh. RULE. Multiply the sum of the two extremes...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 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...
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Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - Arithmetic - 1861 - 452 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...
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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 364 pages
...are to be considered ; viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms; any three of which being given, the other two may be found. 495. To FIND THE LAST TERM OF A SERIES, THE FIRST TERM, THE RATIO, AND NUMBER OP TERMS BEING GIVEN....
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A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 376 pages
...are to be considered ; viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms; any three of which being given, the other two may be found. 495. To FIND THE LAST TERM OF A SERIES, THE FIRST TERM, THE RATIO, AND NUMBER OF TERMS BEING GIVEN....
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