 | Jeremiah Day - Algebra - 1820 - 352 pages
...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.... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...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... | |
 | Miles Bland - Algebra - 1824 - 404 pages
...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... | |
 | James Ryan - Algebra - 1824 - 550 pages
...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... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...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... | |
 | Charles Tayler - 1824 - 350 pages
...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 —... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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... | |
 | William Smyth - Algebra - 1830 - 278 pages
...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... | |
 | William Smyth - Algebra - 1833 - 288 pages
...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... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...-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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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. 
