Calendar: 1851-1852 Page 320

4 APPLIED SCIENCES 15 If מ and מ be the number of balls in the sides of the base of rectangular pile the total number מ מ -j מ ומ 273ר ן כ 16 Expand ax according to the powers of χ find the general term and show that the series cannot be expressed by rational fraction &c to infinity in -Clje Pfwrtagemfcf The questions upon this subject are the same with those set for the Junior Classical Scholarship See page 314 III Depnvtment of tl StppliclJ Pretences SENIOR SCHOLARSHIP d'lu 11 χ cos χ sss cos sin זג or sin זג -f χ cos according as η is even or odd Given that cos χ -f dQ cos Λ cos 2j -f &c obtain the following relation between three consecutive coeflts 2n α '2η λ rc l' aa η