Sequence And Series Question 8
Question: If the $ 7^{th} $ term of a H.P. is $ \frac{1}{10} $ and the $ 12^{th} $ term is $ \frac{1}{25} $ , then the $ 20^{th} $ term is
[MP PET 1997]
Options:
A) $ \frac{1}{37} $
B) $ \frac{1}{41} $
C) $ \frac{1}{45} $
D) $ \frac{1}{49} $
Show Answer
Answer:
Correct Answer: D
Solution:
Considering corresponding A.P. $ a+6d=10 $ and $ a+11d=25 $
$ \Rightarrow $ $ d=3,\ a=-8 $
$ \Rightarrow $ $ T_{20}=a+19d=-8+57=49 $ Hence $ 20^{th} $ term of the corresponding H.P. is $ \frac{1}{49} $ .
BETA
