Calendar: 1873-1874 Page 611
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THE SCHOOL 611 11 Solve tbe equations 2V7 Jf a3 6a3 80 13 x3 468 12 12 Find the sums of terms of each of the series 24 3b Is 22 32 13 Find the number of permutations of things together In how many of these will two given things occur in juxta- position 14 Find the coefficients of in the expansions of -2 ן- and 2x ad infinitum 11 also find the coefficient of in the expansion of χ 2x 12 15 If be two consecutive convergents to the value of q' continued fraction prove thatpg' p'q Express 15 as continued fraction and find the first four convergents to its value 16 Find the sun of the series Λ י "י "י η η ό to η terms 17 Find all the positive integral solutions of the equation 5x My 49 also find the positive integral solutions of the equation xy 6x -J- 7y 18 Explain how probability is measured bag contains five sovereigns and ten shillings if four coins be taken out at random find the chance that two sovereigns and two shillings will be taken out
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