Three terms are in G.P., whose product is 27. The middle term is : 1. -3 2. 3 3. -3 and 3 4. -3 or 3

Let three terms be , a and ar. Given, Product of three terms = 27 Hence, Option 2 is the correct option.

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Let three terms be $\dfrac{a}{r}$ , a and ar.

Given,

Product of three terms = 27

$\therefore \dfrac{a}{r} \times a \times ar = 27 \\[1em] \Rightarrow a^3 = 3^3 \\[1em] \Rightarrow a = 3.$

Hence, Option 2 is the correct option.

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