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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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## Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - 1868 - 252 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 ? ...

## Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - 1868 - 252 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 —...

## New Elementary Algebra

Benjamin Greenleaf - 1870
...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,...

## New Elementary Algebra

Horatio Nelson Robinson - 1874 - 312 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...

## New University Algebra

Horatio Nelson Robinson - 1875 - 412 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...

## New Elementary Algebra

Benjamin Greenleaf - 1876
...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...

## New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - 1877 - 324 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***....

## The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - 1882 - 283 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...

## Elements of Algebra

George Albert Wentworth - 1883 - 350 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...

## Shorter Course in Algebra

George Albert Wentworth - 1886 - 165 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...