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 $ .
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