Question

If 5, m, 20, t are In geometric progression; find m and t.

Answer 1

5, m, 20, t are In G.P.

∴ \(\frac{m}{5}=\frac{20}{m}\) and \(\frac{t}{20}=\frac{20}{m}\)

∴ m² = 100

∴ m = ±10

∴ 400 = mt

Putting m = ±10

400 = ±10(t)

∴ t = \(\frac{400}{±10}\) = ±40