Sequence And Series Question 557
Question: If . terms of the series $ 63+65+67+69+……… $ and $ 3+10+17+24+…… $ be equal, then
[Kerala (Engg.) 2002]
Options:
A) 11
B) 12
C) 13
D) 15
Show Answer
Answer:
Correct Answer: C
Solution:
Given series $ 63+65+67+69+…… $ ?..(i) and $ 3+10+17+24+…… $ ?.. (ii) Now from (i), $ m^{th} $ term $ =(2m+61) $ and $ m^{th} $ term of (ii) series $ =(7m-4) $ Under condition,
$ \Rightarrow 7m-4=2m+61\Rightarrow 5m=65\Rightarrow m=13 $ .