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" There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15. "
An Algebra for High Schools and Academies - Σελίδα 382
των Louis Parker Jocelyn - 1902 - 445 σελίδες
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 σελίδες
...These equations reduced give a; =2, andy=2. The numbers required, therefore, are 2, 4, and 8. Prob. 3. There are three numbers in geometrical progression : The sum of the first and last is 52, and the square of the mean is 1 00. What are the numbers ? Ans. 2, 10, and 50. Prob. 4....

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 σελίδες
...received 28 shillings more than the worst. What were their daily wages ? Ans. 5, 7, and 9 shillings. 8. There are three numbers in geometrical progression...of the first and third is 15. Required the numbers. Ans. 3, 6, 12. 9. There are three numbers in geometrical progression; whose sum is 14 ; and the sum...

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

Miles Bland - 1824 - 404 σελίδες
...received 28 shillings more than the worst. What were their daily wages ? Ans. 5, 7, and 9 shillings. 8. There are three numbers in geometrical progression...of the first and third is 15. Required the numbers. Ans. 3, 6, 12. 9- There are three numbers in geometrical progression, whose sum is 14; and the sum...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...difference between the third and fourth is 4 ; What are the numbers ? Ans. 54, 18, 6, and 2. Prob. 12. There are three numbers in geometrical progression...of the first and third is 15. Required the numbers. Ans. 3, 6, 12. Prob. 13. There are three numbers in geometrical progression, whose continued product...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...difference between the third and fourth is 4 ; What are the numbers ? Ans. 54, 18, C, and 2. Prob. 12. There are three numbers in geometrical progression...of the first and third is 15. Required the numbers. Ans. 3, 6, 12. Prob. 13. There are three numbers in geometrical progression, whose continued product...

Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 σελίδες
...81 Ex. 4. Find the sum of the series^ an~1 &c ..... +&n-* to w terms. ___ _ i-£ ab - ab' aa Ex. 5. There are three numbers in geometrical progression. The sum of the first and second is 15, and the sum of the first and last is 25. What are the numbers ? Let x= the first, and y —...

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

Jeremiah Day - 1827 - 352 σελίδες
...These equations reduced give #=2, and «/=2. The numbers required, therefore, are 2, 4 and 8. Prob. 3. There are three numbers in geometrical progression : The sum of the first and last is 52, and the square of the mean is 100. What are the numbers ? Ans. 2. 10 and 50. Prob. 4. Of...

Elements of Algebra

William Smyth - 1830 - 278 σελίδες
...servants in geometrical progression ; the first had £90 more than the last. How much had each ? 4. There are three numbers in geometrical progression,...of the first and third is 15. Required the numbers. 5. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference...

Elements of Algebra

William Smyth - 1833 - 288 σελίδες
...that the sum of the greater and the third proportional to the greater and less may be a minimum. 7. There are three numbers in geometrical progression, the sum of the first and last is 52, and the square of the mean is 100. What are the numbers ? Ans. 2, 10, and 50. 8. The sum...

An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 634 σελίδες
...-f xy)— (x* — xy)= 2xy = 2S; .-. xy= 14, or y=2, and their wages were 5, 7, and 9 shillings. 53. There are three numbers in geometrical progression...of the first and third is 15. Required the numbers. Let x, xy, and xy1 be the numbers : .•. x-\-xy=9, and x-\-xif ==15 ; whence =' and ^ .•. y= $-{-$•...




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