 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...distant from the mean, or means, will contain but one unknown quantity. 1. The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. What are the numbers ? Let x = the mean term and y •= the common difference ; then the series will... | |
 | Charles Elsee - 1873 - 320 pages
...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 that... | |
 | Edward Atkins - 1875 - 410 pages
...Find the sum of и terms of the series whose rth term is 3 r - 5. 21. The sum of three numbers in AP is 15, and the sum of their squares is 83. Find the numbers. 22. The sum of four numbers in AP is 10, and the sum of their products taken two together... | |
 | Edward Atkins - Mathematics - 1876 - 378 pages
...Find the sum of n terms of the series whose rth term is 3 r - 5. 21. The sum of three numbers in AP is 15, and the sum of their squares is 83. Find the numbers. 22. The sum of four numbers in AP is 10, and the sum of their products taken two together... | |
 | George Albert Wentworth - Algebra - 1881 - 406 pages
...first term. 15. Insert ten arithmetical means between — 7 and 114. 16. The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. Find the numbers. Let x - y, x, x + y represent the numbers. 17. Arithmetical means are inserted between 5 and... | |
 | James Mackean - 1881 - 510 pages
...30, its middle term 1, and the common ditference - 2yV Find the number of terms and their sum. (18.) The sum of the first three terms of an arithmetical progression is 30, and of the second three 66. What ii the sum of the following six 1 (19.) Find three numbers in... | |
 | George Albert Wentworth - Algebra - 1886 - 284 pages
...series is 600, and the common difference is 5. Find the first term. 14. The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. Find the numbers. Let x — y, x, x + y represent the numbers. 15. Find three numbers of an arithmetical series... | |
 | Walter William Rouse Ball - Mathematics - 1890 - 512 pages
...p. 5. The 4th term of an AP is 15, and the 20th term is 23£; find the sum of the first 20 terms. 6. The sum of the first three terms of an arithmetical progression is 9, and the sum of the three subsequent terms is 27. Find the series. 8. Find the arithmetical progression... | |
 | George Albert Wentworth - Algebra - 1891 - 544 pages
...first term. 15. Insert ten arithmetical means between — 7 and 114. 16. The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. Find the numbers. Let x — y, x, x + y represent the numbers. 17. Arithmetical means are inserted between 5... | |
 | John Marvin Colaw - Algebra - 1903 - 444 pages
...term is 11 ? 12. How many strokes does a common clock strike in 24 hours? 13. The sum of 3 numbers in arithmetical progression is 15, and the sum of their squares is 83. What are the numbers ? Let the numbers be x - y, x, x + y. Then (x - y) + x + (x + y) = 15, (1) and... | |
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The sum of three numbers in arithmetical progression is 15, and the sum of their squares is 83. Find the numbers. Let x — y, x, x + y represent the numbers. 
