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" There are three numbers in geometrical progression, whose sum is 14, and the sum of the first and second is to the sum of the second and third as 1 to 2 ; required the numbers. Ans. "
First Lessons in Algebra: In which the Elements of the Science are ... - Page 135
by Samuel Alsop - 1856 - 135 pages
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...of the least and greatest is 51, and the sum of the two greater ones is 60 ; required the numbers. is 14 ; and the sum of the first and second is to...second and third as 1 to 2 ; required the numbers. 6. There are four numbers proportional, of which the third is the product of the first and second,...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...of the least and greatest is 51, and the sum of the two greater ones is 60 ; required the numbers. is 14 ; and the sum of the first and second is to...second and third as 1 to 2 ; required the numbers. 6. There are four numbers proportional, of which the third is the product of the first and second,...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...the sum, the latter when the difference is used. Cов. i. — If four quantities are in proportion, the sum of the first and second is to the sum of the third and fourth as the difference of the first and second is to the difference of the third and fourth....
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A School Algebra

George Albert Wentworth - Algebra - 1890 - 518 pages
...\, find the series. a = f,n = 3,/ = iî. ft-IXi» r2=$ r=| .-. the series is 5, 3, 2, f, | 11. Find three numbers in geometrical progression whose sum is 14, and the sum of whose squares 84. Let a, ar, az2 be the number. r 2r2 — 5r + 2 = 0 .-. r = 2, or J a = 2, or 8 л...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...the ratio of annual increase. 12. There are 3 numbers in geometrical progression whose sum is 62 ; and the sum of the first and second is to the sum of the second and third as 1 to 5. Find the numbers. 13. The difference between the first and second of 4 numbers in geometrical progression...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...first and third is 3£ times the second part. 12. There are 3 numbers in GP whose sum is 49, and th : sum of the first and second is to the sum of the first and thive. as 3 to 5. Find them. Then Or v*i a + ar3 = ar + ar2 = ail + r*) = *-*\A ' * / ar(1....
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...two by 3. What are the numbers ? 18. There are 3 numbers in geometrical progression whose sum is 62 ; and the sum of the first and second is to the sum of the second and third as 1 is to 5. Required the numbers. 19. Three numbers whose sum is 38 are in geometrical progression. If...
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Durell's School Algebra

Fletcher Durell - Algebra - 1914 - 606 pages
...of the first and third is 3^ times the second part. 11. There are 3 numbers in GP whose sum is 49, and the sum of the first and second is to the sum of the first and third as 3 to 5. Find them. 12. The sum of three numbers in GP is 21, and the sum of their...
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Elements of Algebra: For Colleges, Schools, and Private Students

Joseph Ray - Algebra - 1875 - 424 pages
.... 2. What three numbers are there, each greater than the preceding, whose sum is 20, and such that the sum of the first and second is to the sum of the second and third, »s 4 is to 5 ; and the difference of the first and second, is to the difference of the first alid...
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