 | Jeremiah Day - Algebra - 1827 - 352 pages
...progression is 9, and the sum of their cubes is 1 53. What are the numbers ? Ans. 1, 3, and 5. Prob. 3. The sum of three numbers in arithmetical progression is 15; and the sum of the squares of the two extremes is 58. What are the numbers? • Prob. 4. There are four numbers in... | |
 | Jeremiah Day - Algebra - 1831 - 358 pages
...progression is 9, and the sum of their cubes is 153. What are the numbers ? Ans. 1, 3, and 5. Prob. 3. The sum of three numbers in arithmetical progression is 15; and the sum of the squares of the two extremes is 58. What are the numbers? ^, _-'-;• tf f Prob. 4. There are four... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? • Prob. 26. The sum of three numbers in arithmetical progression is 15, and the sum of the squares of the two extremes is 58. What are the numbers 1 i Prob. 27. There are four numbers in... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...progression is 9, and the sum of their cubes is 153. What are the numbers ? . Ans. 1, 3, and 5. Prob. 3. The sum of three numbers in arithmetical progression is 15; and the sum of the squares of the two extremes is 58. What are the numbers'? Prob. 4. There are four numbers in arithmetical... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? Prob. 26. The sum of three numbers in arithmetical progression is 15, and the sum of the squares of the two extremes is 58 What are the numbers 1 Prob. 28. A certain number consists of... | |
 | Isaac Todhunter - Algebra - 1863 - 302 pages
...arithmetical progression is 21, and the sum of their squares is 155 : find the numbers. 15. The sum of five numbers in arithmetical progression is 15, and the sum of their squares is 55 : find the numbers. 1". A traveller has a journey of 140 miles to perform. He goes 26 miles the... | |
 | James Haddon - Algebra - 1871 - 244 pages
...sum is 10, and the product of the second and third is 88j ; find them. ~ Ans. — Ц, 3¿, 1C. 26. The sum of three numbers in arithmetical progression is 15, and the sum of the squares 93 ; find them. Ans. 2, 5, 8. 27. Find the nth term, and the sum of n terms of я? —... | |
 | Charles Elsee - 1873 - 320 pages
...of the first and last is double the middle term. Tind the middle of 1 1 terms whose sum is 66. (14) The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. Find them. (Take x for the middle number.) (15) Arithmetical means are inserted between 5 and 23 such... | |
 | William Frothingham Bradbury - 1875 - 280 pages
...common difference by 2 у ; then the series for four terms is x — Зу, x—у, x + y, ж + 3у. The advantage of this latter method is, that the sum...mean, or means, will contain but one unknown quantity. Let x = the mean term and y = the common difference ; then the series will be x — y, x, and x -\-... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...and the common difference by 2 y; then the series for four terms is x — 3y, x — y, x-\-y, x-\-3y. The advantage of this latter method is, that the sum...mean, or means, will contain but one unknown quantity. Let x = the mean term and y = the common difference ; then the series will be x — y, a;,, and x -\-... | |
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The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. What are the numbers... 
