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JEE Math Practice Question

If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :

  1. A.$${2 \over {13}}\left( {{3^{50}} - 1} \right)$$
  2. B.$${1 \over {13}}\left( {{3^{50}} - 1} \right)$$
  3. C.$${1 \over {26}}\left( {{3^{49}} - 1} \right)$$
  4. D.$${1 \over {26}}\left( {{3^{50}} - 1} \right)$$

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