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@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.Partial fractions
umm that please explain how to do so
$$\frac{1}{(2n-1)(2n+1)} = \frac{1}{2}\cdot\frac{(2n+1)-(2n-1)}{(2n+1)(2n-1)}$$
Opt
Now split it at the minus sign and cancel
You get a series that collapsed
partial fraction decomposition is a topic, you can look it up
*collapses
the ability to split one fraction into multiple
its very useful for sequences and series questions like these
ohk
umm please explain more ?
Here I get
1/2n-1 - 1/2n+1
Once you do this, write out a few terms. You will understand
accha smjh gya
+solved @Opt @Nimboi [ping if answering]
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