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Mathematics

The first term and the common ratio of the G.P. 3, 32,34\dfrac{3}{2}, \dfrac{3}{4}, ………. are respectively :

  1. 3 and 2

  2. 3 and 12\dfrac{1}{2}

  3. 3 and 32\dfrac{3}{2}

  4. 32\dfrac{3}{2} and 12\dfrac{1}{2}

G.P.

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Answer

In the given G.P.,

a = 3

r = 323=32×13=12\dfrac{\dfrac{3}{2}}{3} = \dfrac{3}{2} \times \dfrac{1}{3} = \dfrac{1}{2}.

Hence, option 2 is the correct option.

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