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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. "
Stoddard's Practical Arithmetic - Σελίδα 229
των John Fair Stoddard - 1852 - 299 σελίδες
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The Teachers Assistant. Or, A System of Practical Arithmetic: Wherein the ...

1811 - 198 σελίδες
...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...

Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814
...When 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...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...

The Teachers' Assistant, Or, A System of Practical Arithmetic: Wherein the ...

1817 - 198 σελίδες
...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...

The American Tutor's Assistant, Revised: Or, A Compendious System of ...

Zachariah Jess - 1824 - 210 σελίδες
...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....

The Teachers' Assistant: Or a System of Practical Arithmetic

1824 - 198 σελίδες
...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...

The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - 1825 - 180 σελίδες
...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...

The American Tutor's Assistant, Improved: Or, A Compendious System of ...

Zachariah Jess - 1827 - 211 σελίδες
...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,...first 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...

Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - 1831 - 268 σελίδες
...when the extremes and ratio are given, to find the sum of the series, we have the following easy HULE. Multiply the last term by the ratio, from the product...first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required. ft If the extremes be 5 and 6400, and...

The New System of Practical Arithmetic: Whereby Most of the Various Problems ...

Charles Potts - 1835 - 180 σελίδες
...lessll than the number of terms given, and multiply it by the first | term, will give the last term. 2. Multiply the last term by the ratio, from the product...first term, and divide the remainder by the ratio less 1, for the sum of the series. EXAMPLES. 1. A labourer wrought 20 days, and received for the first...

The Teachers' Assistant: Or, A System of Practical Arithmetic ...

1835 - 198 σελίδες
...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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