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Mathematics

The third term of a G.P. = 18, the product of its first five terms is :

  1. 18

  2. 185

  3. 9

  4. 18\sqrt{18}

AP GP

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Answer

Let first five terms of G.P. be

ar2,ar,a,ar,ar2\dfrac{a}{r^2}, \dfrac{a}{r}, a, ar, ar^2

Given,

Third term of a G.P. = 18.

∴ a = 18

Product of first five terms = ar2×ar×a×ar×ar2\dfrac{a}{r^2} \times \dfrac{a}{r} \times a \times ar \times ar^2

= a5

= 185.

Hence, Option 2 is the correct option.

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