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" The first term is 2, the last term 512, and the ratio 3 ; what is the sum of all the terms ? Ans. 767. 2. The first term is 4, the last term is 262144, and the ratio is 4 ; what is the sum of the series ? Ans. "
A Complete Arithmetic, Oral and Written - Σελίδα 338
των Malcolm MacVicar - 1876 - 394 σελίδες
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 σελίδες
...one. Prob. If in a series of numbers ia geometrical progression, the first term is 6, the last term 1458, and the ratio 3, what is the sum of all the terms? rz-a 3x1458-6. • . . A113- •s=7Zr== 3^1 =2184. 443. Quantities in geometrical progression arc proportional...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 σελίδες
...one. Prob. 1. If in a series of numbers in geometrical progression, the first term is 6, the last term 1458, and the ratio 3, What is the sum of all the terms ? rz-a 3Xl4S8-6—glR Ans. s=- =. .«iH4. r - 1 3— 1 Prob. 2. If the first term of a decreasing geometrical...

The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - 1828 - 358 σελίδες
...2186-^-2=1093 Sum of the series. .4ns. 2. If the estremes of a geometrical series are 3 and 56789, and the ratio 3 : what is the sum of all the terms ? — .ins. £51 82. 3. If the extremes^ a geometrical series are 2, and 87653, and the ratio 4 : what...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 408 σελίδες
...the series. Example 1. If the least term of a geometrical progres-- sion be 2, the greatest term 486, and the ratio 3, what is the sum of all the terms ? Here (486— 2)-^(3— t)=242, and 242+486=728, the Ans. 2. If the extremes be 1 and 15625, and the...

A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger - 1836 - 274 σελίδες
...will give the answer or sum of all the terms. EXAMPLES. 1. If the first term be 5, the last term 3643, and the ratio 3 ; what is the sum of all the terms ? Ans. 5465. 3645 the last term. DEM. — The reason of this rule is 5 the first term, obvious from...

Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 σελίδες
...the sum of all the terms ? Ans. 12285. 3. If the extremes of a geometrical series be 10, and 196830, and the ratio 3, what is the sum of all the terms ? Ans. 295240. (Note. In the following examples, the scholar must find the last term of the series...

Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - 1841 - 268 σελίδες
...give the answer or sum of all the terms. . EXAMPLES. 1. If the first term be 5, the last term 3645, and the ratio 3 ; what is the sum of all the terms ? Ans. 5465. 3645 the last term. DEM. — The reason of this rule is 5 the first term. obvious from...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1842 - 350 σελίδες
...one. Prob. 1. If in a series of numbers in geometrical progression, the first term is 6, the last term 1458, and the ratio 3, what is the sum of all the tenns ? Ans. S= 1- f= 3xl458-6 =2184 r — 1 3 — 1 Prob. 2. If the first term of a decreasing geometrical...

Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - 1843 - 254 σελίδες
...the sum of all the terms ? Ans. 12285. 3. If the extremes of a geometrical series be 10, and 196830, and the ratio 3, what is the sum of all the terms ? -4ns. 295240. {Note. In the following examples, the scholar must find the last term of the series...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 σελίδες
...What is the sum of all the terms 1 Am. 97656. 2. The first term of a geometrical series is 6, the last 1458, and the ratio 3. What is the sum of all the terms 1 Jlns. 2184. 3. The last term of a geometrical series is TiT, the ratio £, and the sum of all the...




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