# Calendar: 1878-1879 Page 599

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GENERAL LITERATURE AND SClENCfi 597 XXIV -algebra airtJ CrigononutrD Add together the fractions χ ax Shew that the sum of the cubes of any three consecutive integers is divisible by three times the second of them Find the value ot χ -f-J2 χ ν Γ when Solve the equations ג 4-V a3 ix1 x2y f-x 20 Form theequation whose roots are Ο and 5T If ז a' b2 and c2 d2 then ry is greater than either ac bd or ad be Extract the square root of 344544 in the scale six and educe the result to scale three Sum the following series to 24 terms 12 20 to η terms 30 -- infinity If between and 20 there be inserted ten arithmetic means and between 20 and there be inserted ten harmonic means find the sum of the series composed of the products of the corresponding terms of the two series

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