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:
$\frac{1}{26}\left(3^{49}-1\right)$
$\frac{1}{26}\left(3^{50}-1\right)$
$\frac{2}{13}\left(3^{50}-1\right)$
$\frac{1}{13}\left(3^{50}-1\right)$
Correct Option: 2
JEE Main Previous Year1 Question of JEE Main from MathematicsSequences and Series chapter.