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" There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans. "
Algebraical Problems, Producing Simple and Quadratic Equations, with Their ... - Page 373
by Miles Bland - 1824 - 383 pages
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...their squares 84. Ans. 2, 4, and 8. 13. Of four numbers in geometrical progression, the second number is less than the fourth by 24, and the sum of the extremes is to the sum of the means, as 7 to 3 ; what are the numbers ? Ans. l, 3, 9, and 27. 14. Tie sum of four numbers in geometrical progression...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1866 - 434 pages
...the squares of all the three numbers as 5 to 7. What are the numbers ? Ans. 5, 10, and 20. Prob. 7. There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; ant" the sum of the extremes is to the sum of the means, as 7 to 3 What are the numbers? Ans. 1,...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 270 pages
...171. There are four numbers in geometrical progression, and the sum of the second and fourth is 60 ; and the sum of the extremes is to the sum of the means as 7 : 3. What are the numbers ? ...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 264 pages
...3. Of four numbers in geometrical progression the difference between the fourth and second is 60 ; and the sum of the extremes is to the sum of the means as 13 : 4. What are the numbers ? SOLUTION. Let x, xy, xy~, and xy3 represent the series. Then xy3 —...
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New Elementary Algebra

Benjamin Greenleaf - 1870 - 334 pages
...the mean is to the difference of the extremes as 2 to 3. Kequired the numbers. Ans. 6, 10, 20. 14. There are four numbers in geometrical progression,...second of which is less than the fourth by 24, and llio sum of the extremes is to the sum of the means as 7 то 3. U •¡yirfd the numbers. Ans. 1,...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...their squares 84. Ans. 2, 4, and 8. 13. Of four numbers in geometrical progression, the second number is less than the fourth by 24, and the sum of the extremes is to the sum of the means, as 7 to 3 ; what are the numbers 1 Ans. l, 3, 9, and 27. 14. The sum of four numbers in geometrical progression...
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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...progression, such that their sum shall be 14, and the sum of their squares 84. Ans. 2, 4, and 8. 8. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. What are the numbers ? Ans. 1, 3, 9, and 27. 9. There are three numbers in geometrical progression...
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New Elementary Algebra

Benjamin Greenleaf - 1876 - 332 pages
...the mean is to the difference of the extremes as 2 to 3. Eequired the numbers. Ans. 5, 10, 20. 14. There are four numbers in geometrical progression,...sum of the extremes is to the sum of the means as 1 to 3. Required the numbers. Ans. 1, 3, 9, 27. MISCELLANEOUS EXAMPLES, 1. What is the quantity made...
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New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - Algebra - 1877 - 662 pages
...the mean is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 14. There are four numbers in geometrical progression,...the sum of the extremes is to the sum of the means aa 7 to 3. Required the numbers. Ans. 1, 3, 9, 27. X/A1 \*i( .~-..,r¿^ ,*. т :^'/z. ¿¿£/ /¿Хгр*=-лхлх***....
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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - Algebra - 1882 - 322 pages
...continued product is 64, and the sum of whose cubes is 584. What are the numbers ? 198. There are 4 numbers in geometrical progression, the second of...is less than the fourth by 24 ; and the sum of the first and fourth is to the sum of the second and third as 7 to 3. What are the numbers? 199. If you...
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