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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 266 σελίδες
...acquainted. Prob 3. 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 I Ans. ^'=g= r— 1 3—1 Prob. 4. If the first term of a decreasing geometrical series is 'J', the...

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 σελίδες
...3. If in a series of numbers in geometrical progression, the first term is 6, the last term 1±58, and the ratio 3, what is the sum of all the terms 1 . rz— a 3x1458—6 oia Ans. *= — - — = — =218*. r— 1 3—1 Prob. 4. If the first term of...

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

Jeremiah Day - 1845 - 358 σελίδες
...Prob. 1. If in a series of numbers in geometrical progression, the first term is 6, the last term 1453, and the ratio 3, what is the sum of all the terms ? Ans. g=1Z_=-=g r-1 3-1 Prob. 2. If the first term of a decreasing geometrical series is -J, the ratio...

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

Davis Wasgatt Clark - 1846 - 374 σελίδες
...is the sum of all the terms1 Jlns. 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 T i T , the ratio £, and the sum of all...

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 264 σελίδες
...3. If in a series of numbers in geometrical progression, the first term is 6, the last term 1 158, and the ratio 3, what is the sum of all the terms 1 A rz— a 3x1458—6 01Q, Ans. s—- = =2184. r— 1 3—1 Pro*. 4. If the first term of a decreasing...

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

Nathan Daboll, David Austin Daboll - 1849 - 260 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...

Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 272 σελίδες
...ratio diminished by unity. Ex. 1. The last term of a progression by quotient is 5103, the first term 7, and the ratio 3 ; what is the sum of all the terms ? ANS. 7651. Ex. 2. The first term of a progression by quotient is 2, the ratio 3, and the last term...

The Popular Educator, Τόμος 6

1855 - 424 σελίδες
...3. If in a series of numb-'t» in geometrical progression, the first term is 6, the last teim 1158, and the ratio 3, what is the sum of all the terms ! Aus. »=: • ЗХШ8 — 6 = 2184. r — l 3 — Prob. 4. If the first term of a decreasing geometrical...

The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - 1859 - 362 σελίδες
...series be infinite, the first term is a cipher. EXAMPLES. 1. 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...

New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - 1878 - 322 σελίδες
...between £ and 128. PROBLEMS. 1. In a geometrical progression, the first term is 6, the last term 2916, and the ratio 3. What is the sum of all the terms ? 2. In a decreasing geometrical series, the first term is |, the ratio ^, and the number of terms...




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