Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 28
... ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity must be taken from each in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? RATIOS , PROPORTION AND VARIATION . 1. Determine which is the greater ...
... ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity must be taken from each in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? RATIOS , PROPORTION AND VARIATION . 1. Determine which is the greater ...
Page 31
... ratio ; and find that ratio . 14. The nth term of an arithmetical series is the sum of n terms . 3n - 1 6 ; find 15. The sums of n terms of two arithmetical series are as 13-7n : 1+ 3n ; find the ratio of their first terms . 16. Every ...
... ratio ; and find that ratio . 14. The nth term of an arithmetical series is the sum of n terms . 3n - 1 6 ; find 15. The sums of n terms of two arithmetical series are as 13-7n : 1+ 3n ; find the ratio of their first terms . 16. Every ...
Page 32
... ratio . 10. Given the sum of three quantities in geometrical pro- gression , and the sum of their reciprocals ; find the quantities themselves . 11. In every geometrical progression consisting of an odd number 32 ALGEBRA .
... ratio . 10. Given the sum of three quantities in geometrical pro- gression , and the sum of their reciprocals ; find the quantities themselves . 11. In every geometrical progression consisting of an odd number 32 ALGEBRA .
Page 33
... ratios the quantity 1 1 " n 1 , respectively ; find the value of 1 1 + .... + S. S1 S2 ཎྞཱ་ 16. The ( p + q ) th term of a geometrical series = P , the ( p - q ) th Q ; find the pth and qth terms . = 17. If a , b , c , d are in ...
... ratios the quantity 1 1 " n 1 , respectively ; find the value of 1 1 + .... + S. S1 S2 ཎྞཱ་ 16. The ( p + q ) th term of a geometrical series = P , the ( p - q ) th Q ; find the pth and qth terms . = 17. If a , b , c , d are in ...
Page 35
... ratio which the third has to the fourth . 10. If P , Q , R be respectively the pth , qth , and 7th terms of an harmonical series , prove that ( p −q ) PQ + ( r− p ) RP + ( q − r ) QR = 0 . PERMUTATIONS AND COMBINATIONS . 1. Find the ...
... ratio which the third has to the fourth . 10. If P , Q , R be respectively the pth , qth , and 7th terms of an harmonical series , prove that ( p −q ) PQ + ( r− p ) RP + ( q − r ) QR = 0 . PERMUTATIONS AND COMBINATIONS . 1. Find the ...
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