Sequence And Series Question 98
Question: The 15th terms of the series $ 2\frac{1}{2}+1\frac{7}{13}+1\frac{1}{9}+\frac{20}{23}+… $ is
Options:
A) $ \frac{10}{39} $
B) $ \frac{10}{21} $
C) $ \frac{10}{23} $
D) none of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Reciprocals of the terms of the series are 2/5, 13/20, 9/10, 23/20,…or 8/20, 13/20, 18/20, 23/30,..its nth term is $ \frac{8+(n-1)5}{20}=\frac{5n+3}{20} $ Therefore, the 15th term is $ \frac{20}{78}=\frac{10}{39} $ .
BETA
