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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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Practical and Mental Arithmetic: On a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - Arithmetic - 1830 - 286 pages
...Progression there are reckoned 5 terms, any three of which beltig given, the remaining two may be found, viz. 1. The first term. 2. The last term. 3. The number of terms. The first term, the last term, and the number of termr-, being given, to und the common difference;...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1831 - 282 pages
...reckoned 5 tsrms, any three of whicb being giveni the remaining two may be found, viz. 1. Thefirst term. 2. The last term. 3. The number of terms, 4. The common difference. 5. The sum of all the term*. The iirst term, the last term, and the number of terms, being given, to find the common difference...
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Mercantile Arith

Michael Walsh - 1831 - 348 pages
...the double of3 = 5-(-l=2-|-4 = 6. In Arithmetical Progression five things are to be 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. , Any three of which being given, the other two may...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1831 - 288 pages
...Arithmetic*. Pir» creaaiun, any three of them being given, the oihttr two may bo found, vift. 1. 77if 'first term. 2. The last term. 3. The number of terms. 4. The sum of all tht terms. 1. A man purchased n flock of sheep, consisting of 9 ; and, by agreement, was...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Accounting - 1832 - 296 pages
...reckoned 5 terms, any three of which being given, the remaining two may be found, viz. 1. The ßrst term. 2. The last term. 3. The number of terms. 4. The common difference. 6. The sum of all the terms. The first term, the last term, and the number of terms, being given, to...
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A system of arithmetic, with the principles of logarithms

Richard Frederick Clarke (the elder.) - 1833 - 158 pages
...progression five things are to be considered, viz. 1. The first term 1 - . V or extremes. 2. The last term J 3. The number of terms. 4. The common difference. 5. The sum of all the terms. ARITHMETICAL PROPORTION PROBLEM 1st. — The extremes and the number of terms being given, to find...
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The Western Arithmetic: Or, Pennsylvania and Ohio Accomptant: Being a Plain ...

James L. Connolly (mathematician.) - Arithmetic - 1835 - 264 pages
...32 = 64, and 4x 16 = 64. The five things in arithmetical progression are to be observed here also. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference, or ratio. 5. The sum of all the terms. As the last term, in a long series of numbers, is very tedious...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 298 pages
...the series. Q. How many parts are always included in an arithmetical series ? A. Five parts, viz.: 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The ram of all the terms. Q. What is meant by the extremes of a progression ? A. The first term and the...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 306 pages
...many, and what are the parts to be noticed in geometrical progression ? A. There are five parts, viz.: 1. The first term. 2. The last term. 3. The number of terms. 4. The ratio ; that is, the common multiplier or divisor. 5. The sum of all the terms, or series. Q. How many...
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The Western Practical Arithmetic: Wherein the Rules are Illustrated, and ...

Arithmetic - 1838 - 218 pages
...2, and in the second 3. There are five things to be considered in any geometrical progression, viz. 1. The first term. 2. The last term. 3. -The number of terms. 4. The ratio. 5. The sum of all the terms I CASE 1. The first term, the ratio, and the number of terms being...
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