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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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Practical and Mental Arithmetic ...

Roswell Chamberlain Smith - 1839 - 308 pages
...Progression there r.re reckoned 5 terms, any three of which being given, the remaining two may be found, viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the tenus. The First Term, the Last Term, and the Number of Terms,...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...first and last terms o£ 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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The Western Calculator, Or, A New and Compendious System of Practical ...

Joseph Stockton - Arithmetic - 1839 - 218 pages
...and 3-f 15=18, or 6 + 12 = 18. In arithmetical progression five things must be carefully observed, viz. 1. The first term, 2. The last term, . 3. The number of terms, 4. The equal difference, 5. The sum of all the terms. Case 1. The first term, common difference, and number...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 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 terms. 4. The common difference. 5. The sum of the terms. PROBLEM I. The first term, last term, and the number of...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1841 - 324 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 o) all the terms. 5. The ratio. 5. A man purchased a flock of sheep, consisting of 9 ; and by agreement,...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...terms, the mean*. 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 the terms. PROBLEM L The first term, last term, and the number of...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1842 - 320 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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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - Arithmetic - 1843 - 254 pages
...first and last terms ojF .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 Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1843 - 320 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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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 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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