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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 eigh…

Q1

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

[JEE Main 2020, 5 Sep (Shift 2)]

a

\(\frac{1}{26}{(\ 3}^{49} - 1)\)

b

\(\frac{1}{26}{(\ 3}^{50} - 1)\)

c

\(\frac{2}{13} {(\ 3}^{50} - 1)\)

d

\(\frac{1}{13} {(\ 3}^{50} - 1)\)

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