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Mathematics

The third term of a G.P. is 3. The product of its first five terms is :

  1. 15

  2. 3×52\dfrac{3 \times 5}{2}

  3. 35

  4. 53

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,

3rd term of G.P. is 3.

∴ a = 3

Product of first five terms are

ar2×ar×a×ar×ar2a535.\Rightarrow \dfrac{a}{r^2} \times \dfrac{a}{r} \times a \times ar \times ar^2 \\[1em] \Rightarrow a^5 \\[1em] \Rightarrow 3^5.

Hence, Option 3 is the correct option.

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