Search any question & find its solution
Question:
Answered & Verified by Expert
If $m^{\text {th }}$ terms of the series $63+65+67+69+\ldots \ldots \ldots$. and $3+10+17+24+\ldots \ldots$ be equal, then $m=$
Options:
Solution:
1182 Upvotes
Verified Answer
The correct answer is:
$13$
Given series $63+65+67+69+ \ldots(i)$
and $3+10+17+24+ \ldots(ii)$
Now from (i), $m^{\text {th }}$ term $=(2 m+61)$ and $m^{\text {th }}$ term of (ii) series $=(7 m-4)$
Under condition,
$\Rightarrow 7 m-4=2 m+61 \Rightarrow 5 m=65 \Rightarrow m=13$
and $3+10+17+24+ \ldots(ii)$
Now from (i), $m^{\text {th }}$ term $=(2 m+61)$ and $m^{\text {th }}$ term of (ii) series $=(7 m-4)$
Under condition,
$\Rightarrow 7 m-4=2 m+61 \Rightarrow 5 m=65 \Rightarrow m=13$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.