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JEE Math Practice Question

Let an be the nth term of a G.P. of positive terms. $$\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200} $$ and $$\sum\limits_{n = 1}^{100} {{a_{2n}} = 100} $$, then $$\sum\limits_{n = 1}^{200} {{a_n}} $$ is equal to :

  1. A.150
  2. B.175
  3. C.225
  4. D.300

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