Question

For what values of x, `4/3, x, 4/27` are in G.P.?

Answer 1

`4/3, x, 4/27` are in geometric progression.

∴ `"t"_2/"t"_1 = "t"_3/"t"_2`

∴ `x/(4/3) = (4/27)/x`

∴ x² = `4/3 xx 4/27`

∴ x² = `16/81`

∴ x = `± 4/9`