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