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" Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1; the quotient will be the sum of the series required. "
Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks - Page 256
by Roswell Chamberlain Smith - 1852 - 311 pages
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The Teachers Assistant. Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1811 - 210 pages
...given, which, being multiplied by the first term, will give the last term, or greater extreme. > » 2. Multiply the last term by the ratio, from the product...subtract the first term, and divide the remainder by ratio less one for the sum of the series. - EXAMPLES. 1. A thrasher wrought 20 days, and- received...
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Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814 - 300 pages
...the Extremes and Ratio are ciren, to find Oí* Sum of the Series, we /tare tin: following easy RULE. Multiply the last term, by the ratio, from the product...subtract the first term, and divide the remainder by (he ratio, less 1 ; the quotient will be the sum of the eerie« required. « 9. If the extrem« be...
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The Teachers' Assistant, Or, A System of Practical Arithmetic: Wherein the ...

Arithmetic - 1817 - 214 pages
...given, which, being multiplied by the first term, will give the last term, or greater ex treats. 2 Multiply the last term by the ratio, from the product...subtract the first term, and divide the remainder by ratio Jess (?ae for the sum of the series. EXAMPLE?. 1. A thresher wrought 20 da}-s, and received for...
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The American Tutor's Assistant Revised: Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1824 - 228 pages
...of terms given, which multiply by the first term, that product is the last term or greater extreme. Multiply the last term by the ratio, from the product...first term, and divide the remainder by the ratio less one ; the quotient will be the sum of the series. EXAMPLES. 1 Sold 24 yards of Holland, at 2d. for...
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The American Tutor's Assistant Revised, Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1824 - 224 pages
...of terms given, which multiply by the first term, that product is the last -term or greater extreme. Multiply the last term by the ratio, from the product...first term, and divide the remainder by the ratio lessjone; the quotient will be the sum of the series. EXAMPLES. I Sold 24 yards of Holland, at 2d....
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The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - Arithmetic - 1824 - 212 pages
...terms given, which, being multiplied by the first term, will give the last term, or greater extreme. 2. Multiply the last term by the ratio, from the product...subtract the first term, and divide the remainder by ratio less one for the sum of the series. EXAMPLES. 1. A thresher wrought 20 days, and received for...
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The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - Arithmetic - 1825 - 224 pages
...of terms given. 2. Multiply the product by the first term and that product will be the last term. 3. Multiply the last term by the ratio, from the product subtract the first term and divide the remain, tier by the ratio less one, for the sum of the series. Questions. What is Geometrical Progression...
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The American Tutor's Assistant, Improved: Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1827 - 226 pages
...right hand must remain the game as in the geometrical term. Then to find the sum of all the terms, multiply the last term by the ratio ; from the product,...term, and divide the remainder by the ratio, less one ; the quotient will be the sum of all the terms. Or shorter t thus : Involve the ratio to the power...
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 322 pages
...required. Hence, RULE. Multiply the larger term by the ratio, and subtract the less term from the product, divide the remainder by the ratio less 1 ; the quotient will be the sum of the series. EXAMPLES FOR PRACTICE. 2. If the extremes be 4 and 131072, and the ratio 8, what is the •urn of the...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1827 - 216 pages
...two former cases, then multiply by the ratio, from the product, subtract the first term, then divide by the ratio less 1, the quotient will be the sum of the terms. hxAMPLE*. — A sum of money is to be divided among 10 pen-ore; (he first is to have $10, the...
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