Sequence series

I was getting answer as 5 but it is given 7. Help pls

@advaitgirap I am also getting 5

@anikasharma u have done it right but c that when n=5, 273/1024<1/6 i.e infinity isnt true here, when u will put 7 u will get 2187/16384>1/6 which is true hence n=7 is the correct ans.

@just_neelansh not able to understand properly

@anikasharma 273/1024 is smaller than 1/6 , it means n is not equal to 5