Calendar: 1887-1888 Page 707

WARNEFORD SCHOLARSHIPS 711 ζ K2 x-y Mfy Find the sum of an Arithmetic Progression of מ terms of which the first term is and the common difference The distances between stations on railway are in an increasing Arithmetic Progression The 3rd is 16 miles from the 1st the 5th is 24 miles from the 3rd How far is the 6th from the 1st Solve the equation la 45 nיי -' ן If dozen of sherry and 12 dozen of port arc worth £50 and dozen nu re of sherry can be got for £10 than of port for £6 required the price of each Define permutations and combinations and investigate formula for the number of permutations of η things taken together Prove that the sum of the number of combinations of 71 things taken one two three all together 2" 10 Find the sum of the coefficients of the binomial expan- sion of -f when η is positive integer What is the coefficient of xh in the binomial expansion of IX -Ertgonomctn anil &ritf tncttc Explain the use of plus and minus signs in measuring lines and angles Prove geometrically that sin 180 sin cos -A cos Prove that -t cos 2Λ tan- Determine tan 15כ Ok In any triangle prove that cos cos Find cos cos Β cos when υ