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 $ .