 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 - Page 276by George Albert Wentworth - 1891 - 521 pagesFull view - About this book
 | William Smyth - 1861 - 352 pages
...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...squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2, or — 14, — 10, — 6, — 2. ,\ 9. A regiment of men was just sufficient to... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...less each day, how far will he have advanced on his journey at the end of the 8th day ? Ans. 20 miles. of the squares of the means is 136. What are the numbers ? Ans. 2, 6, 10, and 14. 12. After A had traveled for 2£ hours, at the rate of 4 miles an hour, B... | |
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...arithmetical progression is 32; and their product 3465. What are the numbers? Ans. 5, 7, 9, 11. 6. The sum of the squares of the extremes of four numbers in arithmetical progression is 461 ; and the sum of the squares of the means 425. "What are the numbers ? Ans. 10, 13, 16, 19. 7.... | |
 | Benjamin Greenleaf - Algebra - 1871 - 412 pages
...each day, how far will he have advanced on his journey at the end of the 8th day ? Ans. 20 miles. 11. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Ans. 2, 6, 10, and 14. 12. After A had traveled for 2f- hours, at the rate of 4 miles an hour, В... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...x= 3 (6) Hence, the numbers are, 3, 7, 11, IB. 5. The sum of the squares of the first and the last of four numbers in arithmetical progression is 200, and the sum of the squares of the second and third is 136. Find the numbers. 6. The prices of three books are in arithmetical progression,... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...arithmetical progression is 32 ; and their product 3465. What are the numbers? Ans. 5, 7, 9, 11. 6. The sum of the squares of the extremes of four numbers in arithmetical progression is 461 ; and the sum of the squares of the means 425. What are the numbers ? Ans. 10, 13, 16, 19. 7. A... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...his journey at the end of the 8th day ? 11. The sum of the squares of the extremes of four quantities in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the quantities ? 12. After A had travelled for 2} hours, at the rate of 4 miles an hour, B set out to overtake... | |
 | George Albert Wentworth - Algebra - 1883 - 506 pages
...lSubstitute value of у in (2), c - 100) + 10ж + (ж + 1) = 26 3* 33 ж = 99. »-у=2, ж = 3, ж + у = 4. 23. The sum of the squares of the extremes of four...squares of the means is 136. What are the numbers? Let ж — 3y, ж — y, ж + y, ж + 3y — the numbers. Then 2ж2 + 18уs = 200 (1) 2ж2 + 2 у2... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...Find the fifteenth term. 9. Find the sum of the even numbers beginning with 2 and ending with 500. 10. The sum of the squares of the extremes of four numbers...squares of the means is 136. "What are the numbers? 11. The seventh term of an arithmetical progression is '! ' " 9 — , the thirteenth term is -, and... | |
 | Webster Wells - 1885 - 368 pages
...Find the fifteenth term. 9. Find the sum of the even numbers beginning with 2 and ending with 500. 10. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers? 11. The seventh term of an arithmetical progression is ! 3 9 — -, the thirteenth term is -, and the... | |
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