Sequence And Series Question 72
Question: $ (0.5)-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-\frac{{{(0.5)}^{4}}}{4}+…. $
[MP PET 1995]
Options:
A) $ {\log_{e}}\frac{3}{2} $
B) $ {\log_{10}}\frac{1}{2} $
C) $ {\log_{e}}n,! $
D) $ {\log_{e}}\frac{1}{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
Obviously $ 0.5-\frac{{{(0.5)}^{2}}}{2}+\frac{{{(0.5)}^{3}}}{3}-….={\log_{e}}(1+0.5) $ $ ={\log_{e}}( \frac{3}{2} ) $ .
BETA
