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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... "
Daboll's Schoolmaster's Assistant, Improved and Enlarged - Σελίδα 183
των Nathan Daboll - 1825 - 240 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

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....

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1

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....

A System of Arithmetic: Reprinted from the Mathematical Text-book

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...

A System of Practical Arithmetic: Applicable to the Present State of Trade ...

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...

Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and ...

Nathan Daboll - 1813 - 244 σελίδες
...increase by the multiplier 2 ; and 27, 9, 3, 1, decrease by the divisor 3. 1'ROBLEM 1. The first term, the 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 all the terms. EXAMPLES. 1. If the series be 2, 6, 18, 54, 162,...

Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - 1815 - 250 σελίδες
...increase by the multiplier 2; and 27, 9, 3, 1, decrease by the divisor 3. PROBLEM I. The £rst term, the last term (or the extremes) and the. ratio given, to find the sum of the aeries. RULE. Multiply the. last term by the ratio, and from the pro* duct subtract the first term...

Daboll's Schoolmaster's Assistant, Improved and Enlarged: Being a Plain ...

Nathan Daboll - 1817 - 252 σελίδες
...the multiplier 2 ; and 27, !>, 3, 1, decrease by the divisor 3. , PROBLEM I. t The first term, the last term (or the extremes) and the ratio given, to...and from the product subtract the first term ; then diviJe the remainder by the ratio, less by 1, and the quotient will be the sum of all the terms. EXAMPLES....

Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

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....

Daboll's Schoolmaster's Assistant: Improved and Enlarged. Being a Plain ...

Nathan Daboll - 1818 - 246 σελίδες
...by the multiplier 2 ; and 27, $, 3, 1, decrease by the divisor 3. PROBLEM I. >i The first term, the last term (or the extremes) and the ratio given, to...the sum of the series. RULE. Multiply the last term fay the ratio, and from the product subtract the first term ; then divide the remainder by the- ratio,...

The Scholar's Guide to Arithmetic: Being a Collection of the Most Useful ...

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....




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