1st Canadian Mathematical Olympiad Problems 1969

1st Canadian Mathematical Olympiad Problems 1969 1.  a, b, c, d, e, f are reals such that a/b = c/d = e/f; p, q, r are reals, not all zero; and n is a positive integer. Show that (a/b)n = (p an + q cn + r en)/(p bn + q dn + r fn ). 2.  If x is a real number not less than 1, which is larger: √(x+1) - √x or √x - √(x-1)?