(1) The lengths of the sides of a right triangle are three consecutive terms of an increasing arithmetic sequence. Show that the lengths are in the ratio 3:4:5.
(2) If the pth and qth terms of an arithmetic sequence are q and p respectively, find the (p+q)th term.
(3) Find X and y if the sequence 2y, 2xy, x, xy/2 .... is geometric.
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