 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 - Page 264by George Albert Wentworth - 1898 - 407 pagesFull view - About this book
 | Jeremiah Day - Algebra - 1839 - 354 pages
...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 • •••: ' ..... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...-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* :... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...squares of all the three numbers as 5 to 7. What are the numbers 1 I ? . — If. - . • * T* 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... | |
 | Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...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.... | |
 | Horatio Nelson Robinson - Algebra - 1846 - 276 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. The sum of four numbers in geometrical progression is... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...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... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...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... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...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 extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans. 1, 3, 9, 27. SECTION XV. INFINITES AND INFINITESIMALS.* ART. 445. THE word... | |
 | James Wharton - 1848 - 164 pages
...second and so on. In how many days will the second overtake the first? Ans. In 2 and 9 days. (92.) 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. (93.) A farmer at a fair found the price of an ox equal to... | |
 | Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...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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