 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 330των George Albert Wentworth - 1898 - 407 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William Frothingham Bradbury - 1868 - 270 σελίδες
...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 ? ... | |
 | William Frothingham Bradbury - 1868 - 264 σελίδες
...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 —... | |
 | Benjamin Greenleaf - 1870 - 334 σελίδες
...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,... | |
 | Horatio Nelson Robinson - 1874 - 340 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1875 - 430 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. There are three numbers in geometrical progression... | |
 | Benjamin Greenleaf - 1876 - 332 σελίδες
...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... | |
 | Benjamin Greenleaf - 1877 - 662 σελίδες
...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***.... | |
 | Edwin Pliny Seaver, George Augustus Walton - 1882 - 322 σελίδες
...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... | |
 | George Albert Wentworth - 1883 - 506 σελίδες
...(2) Divide (1) by (2), Vж + Vy = ± 8 (3) From (2) and (3), 2VÍ = 14, .-. ж = 49, and y = 1. 20. There are four numbers in geometrical progression,...the sum of the means as 7 to 3. Find the numbers. Let ж = first number, and y = ratio. Then ж, жy, жу2, жys = numbers. жу'-*у = 24 (1) Divide... | |
 | George Albert Wentworth - 1886 - 284 σελίδες
...between two numbers is 48, and the arithmetical mean exceeds the geometrical by 18. Find the numbers. 17. There are four numbers in geometrical progression,...the sum of the means as 7 to 3. Find the numbers. 18. A cask contains 240 gallons of wine. The first day of January, half is drawn out ; the following... | |
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