Calendar: 1853-1854 Page 402

398 THE SCHOOL railway train after travelling an hour meets with an accident winch detains it another hour after which it proceeds with £tbs of its former speed and arrives at the terminus hours after time had the accident occurred 50 miles further on the train would have arrived 20 sooner required the length of the line Find the value of χ ζ from -2 Cy-3 24 נ י xy χ ζ ζ 63 3y 30 Find χ from the equation- Λ y2 Λ3 '2χ £ ג ז 2x Κ 13' 9- י' man let to his eldest child th of his property 100 to the second th of the remainder 200 and 80 on in the end each received the same sum llow many children did he leave and what was the amount of his property Given the sum of numbers in geometric progression and also the sum of their reciprocals ן find the sum of the series to infinity 10 If &c be the sums of terms of η geometric series first terms unity and common ratios show that- צ &c &c 11 On what day of the week was June IS 1815 12 If Ρ be the sum of the serie formed by taking the first and every term of the plh power in infinite series first term unity and the sum of similar eries where terms of the powers are taken then Qp