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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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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 594 pages
...л/.г- + л/у = ± 8 (3) From (2) and (3), 2 л/а; = 14, 2л/^ = 2. .-.г = 49, and у = 1. 20. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Find the numbers. Let x = first number, and. у = ratio. Then x, xy, œy", xy3 = numbers. жу>-а!у...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 440 pages
...numbers is 48, and the arithmetical mean exceeds the geometrical mean by 18. Find the numbers. 28. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Find the numbers. Infinite Geometrical Series. 870. When r is less than 1, the successive terms of...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 428 pages
...numbers is 48, and the arithmetical mean exceeds the geometrical mean by 18. Find the numbers. 28. There are four numbers in geometrical progression'...the extremes is to the sum of the means as 7 to 3. Find the numbers. Infinite Geometrical Series. 370. When r is less than 1, the successive terms of...
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Elements of Algebra

George Albert Wentworth - Algebra - 1904 - 536 pages
...numbers is 48, and the arithmetical mean exceeds the geometrical mean by 18. Find the numbers. 20. There are four numbers in geometrical progression, the second of which is less thart the fourth by 24, and the sum of the extremes is to the sum of the means as 7 to 3. Find the...
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Test Examples in Algebra: Especially Adapted for Use in Connection with ...

Edward Olney - Algebra - 1870 - 114 pages
...the squares of all the three numbers, as 5 to 7. What are the numbers ? Ans., 5, 10, and 20. (72.) There are four numbers in geometrical progression,...the extremes is to the sum of the means, as 7 to 3. What are the num bers?Ans., 1, 3, 9, 27. THE END OLNEY'S HIGHER MATHEMATICS, Therels0ne ね at 几...
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