 The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.  A Higher Algebra - Side 276av George Albert Wentworth - 1891 - 521 siderUten tilgangsbegrensning - Om denne boken
 | Jeremiah Day - 1820 - 352 sider
...And llI,r-99y-H98 = 100(*+y)+10*+(*— y)> Therefore x = 3, y = 1, and the number is 234. Prob. 6. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Prob. 7. There are four numbers in arithmetical progression, whose sum is 28, and their continual... | |
 | Miles Bland - 1821 - 898 sider
...which substituting the value of x found above, and y = ± i ; hence the numbers are 1 1, g, 7, 5. 5. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Supposing as before, x + зу, x + y, x — y, and x — зу, to be the numbers ; then 2tf* + 18... | |
 | Miles Bland - 1824 - 404 sider
...276; by transposition, 20/ = 20; .•./=i; . and 'y — + 1 ; hence the numbers are П, 9, 7, 5. 5. The sum of the squares of the extremes of four numbers...is 200, and the sum of the squares of the means is 1 36. What are the numbers ? Supposing as before, x + 3y, x+y, x—y, and x - 3y, to be the numbers;... | |
 | Jeremiah Day - 1827 - 352 sider
...93y. By the conditions, lll*-99 y—26 i And lllx Therefore x=3, y=l, and the number is 234. Prob. 6. The sum of. the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? * Prob. 7. There are four numbers in arithmetical progression,-whose sum is 28 and their continual... | |
 | William Smyth - 1830 - 278 sider
...They will meet in 10, and also in 33 days. ;B. The sum of the squares of the extremes of fourjmmbers in arithmetical progression is 200, and the sum of...squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2 or — 14, — 10, — 6, — 2. 9. The product of five numbers in arithmetical... | |
 | William Smyth - 1833 - 288 sider
...second, •and so on. How soon will they meet ? Ans. They will meet in 10, and also in 33 days. 8. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2, or — 14, — 10, — 6, — 2. 9. The product of five numbers in arithmetical... | |
 | William Smyth - 1836 - 288 sider
...the second, and so on. How soon will they meet ? Ans. They will meet in 10, and also in 33 days. 8. The sum of the squares of the extremes of four numbers...arithmetical progression is 200, and the sum of the square! of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2, or-— 14, — 10, — 6, —... | |
 | Benjamin Peirce - 1837 - 300 sider
...is 28, and continued product 585. Ans. 1, 5, 9, 13. 5. The sum of the squares of the first and last of four numbers in arithmetical progression is 200, and the sum of the squares of the second and third is 136; find them. Ans. 2, 6, 10, 14. 6. Eighteen numbers in arithmetical progression... | |
 | Benjamin Peirce - 1837 - 302 sider
...585. 17 f J ^ ?l An$- }' 5, 9' - * /-(*> ., - ~. ~ . 5. The sum of the squares/of the first and last of four numbers in arithmetical progression is 200, and the sum of the squares of the second and third is 136; find them. Ans. 2, 6, 10, 14. 6. Eighteen numbers in arithmetical progression... | |
 | Miles Bland - 1841 - 456 sider
...256 + 2oy* = 276 ; by transposition, 20y' = 20; and y = ± 1 ; hence the numbers are 1 1, 9, 7, 5. 5. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Supposing as before, x + 3у, x + y, x — y, and x — 3у, to be the numbers ; then 2 #' + 1sy'... | |
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