 | William Douglass - 1809 - 150 σελίδες
...sum of all the terms, we are directed to multiply the last term by the ratio, and from the product to subtract the first term, and divide the remainder by the ratio less than one. To investigate this, it must in the first place be observed, that, in any increasing series... | |
 | 1811 - 210 σελίδες
...given, which, being multiplied by the first term, will give the last term, or greater extreme. 3,. 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... | |
 | Roswell Chamberlain Smith - 1814 - 300 σελίδες
...ntio (3). Hence, 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...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... | |
 | Zachariah Jess - 1824 - 224 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.... | |
 | Stephen Pike - 1824 - 212 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... | |
 | Thomas Tucker Smiley - 1825 - 224 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... | |
 | Zachariah Jess - 1827 - 226 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,...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... | |
 | Roswell Chamberlain Smith - 1829 - 280 σελίδες
...ratio, (3.) Hence, when the extremes and ratio are given, to find the sum of the series, we have the following easy RULE. Multiply the last term by the ratio, from the product subtract ithe first term, and divide the remainder by the ratio, less 1 J the quotient will be the sum of the... | |
 | Thomas Tucker Smiley - 1830 - 192 σελίδες
...terms given. 2. Multiply the product by the first term, and that proluct will be the last term. 3. Multiply the last term by the ratio; from the product...term, and divide the remainder by the ratio, less 1, for the sum of the series. Questims. What i« Geometrical Progression? What is the ratio " By what... | |
 | Roswell Chamberlain Smith - 1830 - 286 σελίδες
...we have the following easy HULE. Multiply the last term by the ratio' from the product subtract t he first term, and divide the remainder by the ratio, less 1 ; the quotient will Ite the sum of the scries required^ 9. If the extremes be 5 and 6 Ю3, and the ratio 6, what is the... | |
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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, for the sum of the series. 
