 | 1801 - 446 σελίδες
...diminished, is called the ratio. PROBLEM I. Given the first termt the last term, and the ratio, to find tht sum of the series. RULE.* Multiply the last term by...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less I, will give the sum of the series. EXAMPLES. * DEMONSTRATION.... | |
 | Nicolas Pike - 1808 - 470 σελίδες
...of all the terms. Or, Multiply the greatest term by the ratio, from the produfl subtract the least term ; then divide the remainder by the ratio, less...and the quotient will be the sum of all the terms. Or, When all the terms are given, then, from the product of the second and last terms, subtract the... | |
 | Samuel Webber - 1808 - 466 σελίδες
...calfed the r'atio. PR0BLEM I. Giyen thejirst term, the last term, and the ratio, to find the sum of thc series. RULE.* Multiply the last term by the ratio, and from the product subtract the first term, and the remainder, divided by the ratio less 1, will give the sum of the series. • DEM0NSTRATI0N.... | |
 | Samuel Webber - 1812 - 260 σελίδες
...increased or diminished, is called the ratio. PROBLEM 1. Given thefirst term, the last term, and the ratio, to find the sum of the series. RULE.* Multiply the...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less 1, will give the sum of the series. * DEMONSTRATION. Take... | |
 | Jeremiah Joyce - 1812 - 274 σελίδες
...determined. I. Given the first term a, the last term z, and the common ratio r, to find the sum s. RULE. Multiply the last term by the ratio, and from the product subtract the first term, and the remainder divided by the ratio, less one, will give the sum of the series ; or — r — 1... | |
 | 1818 - 264 σελίδες
...is called the RATIO. PROBLEM I. Given the first term, the last term, (or extremes') and the ra* t|O, to find the sum of the series, RULE. Multiply the...ratio, and from the product subtract the first term, and the rem ainder, divided by the ratio less I, wjif'give the sum of all the terms of the series.... | |
 | Phinehas Merrill - 1819 - 116 σελίδες
...answer. CASE H. •Given the first term, the last term, and the ratio, to find the aggregate or total sum of the series. RULE. — Multiply the last term...ratio, and from the product subtract the first term, and the remainder, divided by the ratio less one, will give the sum of the whole series. EXAMPLES.... | |
 | Nicolas Pike - 1832 - 538 σελίδες
...the term*. RULE IU Or, Multiply the greatest term by the ratio, from the product subtract the lenst term ; then divide the remainder by the ratio. less...by 1, and the quotient will be the sum of all the turms. * To fin.1 the «olid content of a «flöhe. See Art. 34th. of Mensuration of Solids. Note,... | |
 | Nathan Daboll - 1823 - 262 σελίδες
...the extremes) and the ratio given, to fmd the-sum of the series. RULE. Multiply the last term by t!ie ratio, and from the product subtract the first ter,m ; then divide the remainder by the ratio, loss by l,and the quotient will be the sum of ail the terms. 'i • EXAMPLES. • . 1. If the scries... | |
 | Nathan Daboll - 1825 - 248 σελίδες
...increase by the multiplier 2 I and 27, 9, 3, 1, decrease by the divisor 5. PROBLEM I. The first term. f he last term (or the extremes) and the ratio given, to...: then divide the remainder by the ratio, less by 1,and the quotient will be the sum of a!l the terms. EXAMPLES. 1. If the series be 2, 6, 18, 54, 162.... | |
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The first term, the last term (or the extremes) and the ratio given, to find the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by l,and the quotient... 
