WAEC 2025 · Paper 1 · Q9✱✱

If 169,x,1,y\frac{16}{9}, x, 1, y are in geometric progression, find xyxy.

Worked solution (try it first)
  1. For three consecutive terms of a G.P., the middle term squared equals the product of the outer two.
  2. Take the three terms x,1,yx, 1, y: 12=xy1^2 = xy, so xy=1xy = 1, option C.
  3. Check: x2=169×1x^2 = \frac{16}{9} \times 1, so x=43x = \frac43 and r=34r = \frac34, which gives y=34y = \frac34 and xy=1xy = 1.

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