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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. "
Examples in Algebra for Senior Classes, Etc - Page 75
by James Wharton - 1864 - 168 pages
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The R.I. Schoolmaster, Volume 7

Education - 1861 - 552 pages
...1006 |=10Ш5. In the same manner square 125, 76, 95, 455, 725, 1255, &c. ALGEBRAICAL QUESTION. — There are four numbers in geometrical progression,...the extremes, is to the sum of the means, as 7 to 3. What are the numbers ? А. г. к. several numbers is required. In comparing numbers we observe we...
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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - 1861 - 372 pages
...progression, such that their sum shall be 14, and the sum of their squares 84. ^?/is 2, 4, and 8. 8. There are four numbers in geometrical progression, the second of which is less than the fourth by 21 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers 1 Ans....
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...progression, each that their sum shall be 11, and the gum 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. l, 3, 9, and 27. 9. There are three numbers in geometrical progression j...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 14. There are fonr numbers in geometrical progression, the second of which is less than the fourth by ?t, and the sum of the extremes is to the sum of the moans as 1 to 3. Eequired the numbers. Ans. l,...
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New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - Algebra - 1864 - 336 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,...sum of the means as 7 to 3. Required the numbers. Ans. 1, 3, 9, 27. MISCELLANEOUS EXAMPLES. 1. What is the quantity made up of the factors ax, 2 by,...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...-. /» <*• such that their sum shall be 14, and the sum of their squares 84. Ans. 2, 4, and 8. 5. There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; acd the sum of the extremes is to the sum of the means as 7 to 3. What are the numbers? V-.Ty, ty%...
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Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

Paul Allen Towne - Algebra - 1865 - 314 pages
...81. 7. The difference between the second and fourth of four numbers in geometrical progression is 24. The sum of the extremes is to the sum of the means as 7 to 3. What are the numbers ? Ans. 1, 3, 9, 27. 8. What is the third term of a harmonical proportion whose...
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New Elementary Algebra

Benjamin Greenleaf - 1866 - 336 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 extremes is to the sum of the means as 7 to 3. Kequired the numbers. Ans. l, 3, 9, 27. MISCELLANEOUS EXAMPLES. 1. What is the quantity made up of...
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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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