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:

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 GP. is:

  1. $\frac{1}{26}\left(3^{49}-1\right)$

  2. $\frac{1}{26}\left(3^{50}-1\right)$

  3. $\frac{2}{13}\left(3^{50}-1\right)$

  4. $\frac{1}{13}\left(3^{50}-1\right)$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.
JEE Main Previous Year Sep. 05, 2020 (II)

Solution:

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