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" Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terms. "
The Tutor's Guide: Being a Complete System of Arithmetic; with Various ... - Page 135
by Charles Vyse - 1815 - 320 pages
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...common difference is 4. Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. PROBLEM I. One of the extremes, the common difference,...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...387. From the above formulas it appears that there are five things to be considered in geometrical progression, viz. : 1. The first term. 2. The last term. 3. The ratio. 4. The number of terms. 5. The sum of the terms. Any three of these being given, the remaining...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1844 - 352 pages
...other terms, the means. Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terma. 4. The common difference. 5; The sum of the terms. PROBLEM I. The first term, last term, and...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...387. From the above formulas it appears that there are five things to be considered in geometrical progression, viz. : 1. The first term. 2. The last term. 3. The ratio. 4. The number of terms. 5. The sum of the terms. Any three of these being given, the remaining...
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 244 pages
...common difference is 4. Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. PROBLEM I. One of the extremes, the common difference,...
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Daboll's Complete Schoolmaster's Assistant: Being a Plain Comprehensive ...

Nathan Daboll, David Austin Daboll - Arithmetic - 1849 - 260 pages
...first and last terms of which are called the extremes. A series in progression includes five parts, viz. : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms : by having any three of which given, the other two...
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Arithmetic on the Productive System: Accompanied by a Key and ..., Volume 1

Roswell Chamberlain Smith - Arithmetic - 1850 - 314 pages
...like Arithmetical Progression, any three of them being given, the other two may be found, viz : — 4. 1. The first term. 2. The last term. 3. The number of terms 4 The sum of all the terms. 5. The ratio. 5. A man purchased a flock of sheep, consisting of 9 ; and by agreement,...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1856 - 334 pages
...Arithmetical Progression, any three of them being given,- the other two may be found, viz : — 4. 1. The first term. 2. The last term. 3. The number of terms 4 The sum of all the terms. 5. The ratio. 5. A man purchased a flock of sheep, consisting of 9 ; and by agreement,...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...progression, if we regard the number of terms as limited, there will be five elements for consideration : — 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of the terms. These are so related to each other, that, any three of...
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Walkinghame's [sic] Tutor's assistant; or, Complete arithmetical question ...

Francis Walkingame - 1865 - 222 pages
...8 = 64. In Geometrical Progression the eame five things are to be observed as are in Arithmetical. 1. The first term. 2. The last term. 3. The number of terms. 4. The equal difference or ratio. 5. The sum of all the terms. NOTE. — As the last term in a long series...
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