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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. "
New School Algebra - Σελίδα 332
των George Albert Wentworth - 1898 - 407 σελίδες
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...the squares of all the three numbers as 5 to 7. What are the numbers 1 Ans. 5, 10, and 20. Prob. 7. There are four numbers in geometrical progression,...the sum of the extremes is to the sum of the means} us 7 to 3. What are the numbers 1 Ans. 1, 3, 9, 27. : Lisa; ,lt T :.v ri-a-.'-if • •••: ' .....

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...-y>+ ¥A9-. and y>-\ i=±ff ; .'. »» = 8 or 4, and y= 2 or£, and the numbers are 2, 4, and 8. 56. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Required the numbers. Ans. l, 3, 9, 27. Let x, xy, xy1, xif be the numbers ; zf-гу3 : xy-\-xy* :...

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James Bates Thomson - 1844 - 252 σελίδες
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...root ^* — a=8 — a. a?=8. Or, But ary=64, or *?=4. Hence, y=2. And the numbers are 2, 4, and 8. 2. There are four numbers in geometrical progression,...fourth by 24 ; and the sum of the extremes is to the means, as 7 to 3. Required, the numbers. (Day and others.) Let z=the first number, and y=the ratio....

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Elias Loomis - 1846 - 346 σελίδες
...progression whose continued product is 64, and the sum of their cubes is 584. Required the numbers. Prob. 4. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Required the numbers. Prob. 5. Of four numbers in geometrical progression, the difference between the...

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Elias Loomis - 1846 - 346 σελίδες
...continued product is 64, and the sum of their cubes is 584. Required the numbers. ^ - J -"ï_ ' Prob. 4. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Required the numbers. ••'/ / "} ¿ > Prob. 5. Of four numbers in geometrical progression, the difference...

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Horatio Nelson Robinson - 1846 - 262 σελίδες
...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. The sum of four numbers in geometrical progression is...

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Jeremiah Day - 1847 - 332 σελίδες
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...progression, such that their sum shall be 14, and the sum of iheir squares 84. > Jnft. 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. The sum of four numbers in geometrical progression is...

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Jeremiah Day, James Bates Thomson - 1848 - 252 σελίδες
...is to the sum of the squares of all the three numbers as 5 to 7. WJiat are the numbers 1 Prob. 16. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. What are the numbers ? SECTION XV. EVOLUTION OF COMPOUND QUANTITIES. 376. RULE. — I. Arrange the...




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