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} $ .