Sequence And Series Question 160
Question: The sum to infinity of the following series $ \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+……….. $ shall be
[MNR 1982]
Options:
A) $ \infty $
B) 1
C) 0
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Given series $ \frac{1}{1,.,2}+\frac{1}{2,.,3}+\frac{1}{3,.,4}+…=( 1-\frac{1}{2} )+( \frac{1}{2}-\frac{1}{3} )+( \frac{1}{3}-\frac{1}{4} )+…. $ Obviously the sum of series upto infinity is 1.
BETA
