 | Benjamin Greenleaf - Algebra - 1877 - 662 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 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 - Algebra - 1882 - 322 pages
...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 - Algebra - 1883 - 506 pages
...(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 extremes is to 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... | |
 | George Albert Wentworth - Algebra - 1886 - 284 pages
...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 extremes is to 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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. 
