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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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Examples in algebra

James Wharton - 1848
...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...

Algebraical Problems Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1849 - 461 σελίδες
...continued product is 64, and the sum of their cubes is 584. Required the numbers. Ans. 2, 4, 8. п. There are four numbers in geometrical progression,...second of which is less than the fourth by 24 ; and the sura of the extremes is to the sum of the means as 7 to з. Required the numbers. Ans. i, з, 9, 27....

An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - 1850 - 240 σελίδες
...progression, such that their sum shall be 14, and the sum of tfaeir squares 84. Ans. 2, 4, and 8. 13. 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. 14. The sum of four numbers in geometrical progression...

AN INTRODUCTION TO ALGEBRA, BEING THE FIRST PART OF A COURSE OF MATHEMATICS ...

JEREMIAH DAY, D.D. LL. D. - 1850
...the squares of all the three numbers as 5 to 7. What are the numbers'? Ans. 5, 10, and 20. Prob. 7. There are four numbers in geometrical progression,...of the extremes is to the sum of the means, as 7 to $. What are the numbers ? Ans. 1, 3, 9, 27. SECTION XT. INFINITES AND INFINITESIMALS.* ART. 445. THE...

A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 σελίδες
...geometric progression is 64, and the sum of their cubes is 584. What are those numbers? Ans. 2, 4, 8. 26. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Required the numbers. Ans. 1, 3, 9, 27. The following are the two fundamental equations from which...

A Treatise on Algebra

Elias Loomis - 1855 - 316 σελίδες
...product is 64, and the sum of their cubes is 584. Required the numbers. Ans. 2, 4, and 8. Prob. 4. There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. R<»quired the numbers. Ans. 1, 3, 9, and 27. Prob. 5. Of four numbers in geometrical progression,...

The Popular Educator, Τόμος 6

1855
...numbers as 6 to 7. What are the numbers? Prob. 16. There are four aumber* in geometrical progreslion, the second of which is less than the fourth by 24 ; and the sum of the extremes ia to the sum of the means as 7 to 3. What are the 1шш1нгч : EVOLUTION OF COMPOUND QUAHTITIBS....

The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 528 σελίδες
...continued product is 64, and the sum of their cubes is 584. What are the numbers ? Ans. 2, 4, and 8. 17. 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. 18. The sum of $700 was divided among four persons, whose...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1859 - 404 σελίδες
...the squares of all the three numbers as 5 to 7. What are the numbers? Ans. 5, 10, and 20. Prob. 1. There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; ant the sum of the extremes is to the sum of the means, as 7 to 3 What are the numbers ? Ans. 1,...

Examples in Algebra for Senior Classes: Comprising Numerous Graduated ...

James Wharton - 1860
...the first day, 13 t lu; second and so on. In how many days will the second overtake the first ? (88.) There are four numbers in geometrical progression,...the extremes is to the sum of the means as 7 to 3. Required the numbers ? (89.) A farmer at a fair found the price of an ox equal to that of three sheep,...




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