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" Find three numbers in geometrical progression such that the sum of the first and last is 20, and the square of the mean 36. "
Algebraical Exercises and Examination Papers - Page 112
by Henry Sinclair Hall, Samuel Ratcliffe Knight - 1887 - 181 pages
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A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...cubes 584. x, xy, xy1, the numbers. x5y* = 64, x' X (1 +y* +y*) = 584. Ans. 2, 4, 8. 10. To find three numbers in geometrical progression, such, that the sum of the first and third shall be 52, and their product 100. Ans. 2, 10, 50. 11. To find two mean proportionals between...
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Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844 - 262 pages
...x, yy, yy*, be the numbers. Thenx'y3 = 64, x3 x (I +y3 +y<') = 584. Ans. 2, 4, 8. 10. To find three numbers in geometrical progression, such, that the sum of the first and third shall be 52, and their product 100. Ans. 2, l°, 50. 11. To find two mean proportionals between...
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An elementary treatise on algebra. [With] Key

James Thomson - 1844 - 328 pages
...starts from B for A, and travels every day 15 miles : where will they meet ? Ans. 165 miles from A. 18. Find four numbers in geometrical progression, such that the sum of the extremes may be 35, and that of the means 30. Ans. 8, 12, 18, and 27. 19- Two couriers start at the...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Thomson - Algebra - 1845 - 328 pages
...starts from B for A, and travels every day 15 miles : where will they meet ? Ans. 165 miles from A. 18. Find four numbers in geometrical progression, such that the sum of the extremes may be 35, and that of the means 3O. Ans. 8, 12, 18, and 27. ip. Two couriers start at the...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - Mathematics - 1853 - 474 pages
...geometrical series is -, and the sixth is - ; 64 cj л ,139 find the senes. Ans. -, -, —, etc. 10. Find four numbers in geometrical progression, such that the sum of the means shall be = 36, and the sum of the extremes = 84. 11. Find the vulgar fraction equivalent to the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...Whence y— 2 or -J-, and x— 3 or 12. The terms are therefore 3, 6, and 12, or 12, 6, and 3. Prob. 2. Find four numbers in geometrical progression such that the sum of the first and second shall be 15, and the sum of the third and fourth 60. By the conditions, x+xy=.l5, (1.) xy 2...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...second may be 4, and the difference between the third and fourth 36. Ans. 2, 6, 18, and 54. Prob. 7. Find four numbers in geometrical progression such that the sum of the first and third may be a, and the sum of the second and fourth may be 6. b3 Prob. 8. Find four numbers in geometrical...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 322 pages
...in his shoes, paying i mill for the first, 2 mills for the second, 4 for the third, and so on ? 13. Find four numbers in geometrical progression, such that the sum of the first three is 130, and that of the last three is 390. 14. A man divides $210 in geometrical progression...
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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...second is 8, and the sum of the third and fourth is 72 ; what are the numbers ? Ans. 2, 6, 18 and 54. 6. Find four numbers in geometrical progression such that the sum of the first two shall be 32 and the sum of the last two shall be 288. Am. 8, 24, 72 and 216. 7. A merchant has...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1884 - 398 pages
...a(a— i) : 52— c : : IP—a : c(c— i). 12. Find four numbers, in geometrical progression, such the sum of the first and the last is 27 ; and the sum of the other two is 18. FKIDAY, JUNE 13, from 2 to 4.30 PM II. 7. Mathematics. > Euclid. 1. Define a plane superficies, a circle,...
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