Sequence And Series Question 21

Question: The sixth H.M. between 3 and $ \frac{6}{13} $ is

[RPET 1996]

Options:

A) $ \frac{63}{120} $

B) $ \frac{63}{12} $

C) $ \frac{126}{105} $

D) $ \frac{120}{63} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ x_{n}=\frac{(n+1)ab}{na+b} $ Sixth H.M. $ x_6=\frac{7\ .\ 3\ .\ 6/13}{( 6,.\ 3+\frac{6}{13} )}=\frac{126}{240}=\frac{63}{120} $ .