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just as Nehushtan did above. You break it into partial fractions as above:
Now you telescope it out
Now just subtract the bottom from the top, again with massive cancellations.
Often in mathematics you just have to be imaginative in going about solving problems.
so here the answer is.right?
its a nice method but if we have just one equation like
what do we need to do now?
Now subtract the bottom one from the top one. The technique is called telescoping. Notice the massive cancellations making the sum to any amount of terms easy.
Nope, it is rather easy! No computation necessary.
and if there is a long series, then is it necessary to compute each one?
Did you get the answer?
You'll find every fraction can be split like this and then you can do a lot of cancelling out.
Here is a little hint:
pls tell me is there any easier way to solve the following:-