Sequence And Series Question 54
Question: $ \frac{1}{1,.,3}+\frac{1}{2},.,\frac{1}{3,.,5}+\frac{1}{3},.,\frac{1}{5,.,7}+……\infty = $
Options:
A) $ 2,{\log_{e}}2-1 $
B) $ {\log_{e}}2-1 $
C) $ {\log_{e}}2 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ S=\frac{1}{2}( \frac{1}{1}-\frac{1}{3} )+\frac{1}{2^{2}}( \frac{1}{3}-\frac{1}{5} )+…. $ $ =( \frac{1}{1.2}-\frac{1}{2.3} )+( \frac{1}{3.4}-\frac{1}{4.5} )+….=2{\log_{e}}2-1 $ .
BETA
