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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. "
Arithmetic Simplified in Three Parts - Page 262
by Catharine Esther Beecher - 1833 - 283 pages
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The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - Arithmetic - 1838 - 346 pages
...2X32=4X16=8X8=64. In Geometrical Progression the same five things are to be observed, as in Arithmetical, viz. 1. The first term. 2. The last term. 3. The number of terma 4. The equal difference or ratio. NOTE. As the last term in a long series of numbers, is very...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...are called the extreme*, and the other terms, the means. Any three of the five following things being given, the other two may be found. 1. The first term....of terms. 4. The common difference. 5. The sum of the terms. PROBLEM I. The first term, last term, and the number of terms being given, to find the common...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...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...The common difference. 5. The sum of all the terms : by having any three of which given, the other two may ber found. CASE I. • The first term, common...
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The Western Calculator, Or, A New and Compendious System of Practical ...

Joseph Stockton - Arithmetic - 1839 - 218 pages
...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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Practical and Mental Arithmetic ...

Roswell Chamberlain Smith - 1839 - 308 pages
...and, like Arithmetical Progression, any three of them being given, the other two may be found, viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The sum of all the terms. 5. The ratio ; that is, the multiplier or divisor, by which we form the series....
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...are called the extremes, and the other terms, the mean*. Any three of the five following things being given, the other two may be found. ' ^ 1. The first...of terms. 4. The common difference. 5. The sum of the terms. PROBLEM L The first term, last term, and the number of terms being given, to find the common...
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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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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1841 - 200 pages
...five in number, (5) three being given, the other two may be readily found. 2: Thl 52 3. The ngttber of terms. 4. The common difference. 5. The sum of all the terms. CASE I. The first term, the number of terms, and the common difference being given, to find the last...
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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
...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...The common difference. 5. The sum of all the terms : by having any three of which given, the other two may be found. CASE I. The first term, common difference,...
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