Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

Post a reply

Go back

Write your message and submit
:) :| :( :D :o ;) :/ :P :lol: :mad: :rolleyes: :cool: | :dizzy :eek :kiss :roflol :rolleyes :shame :down :up :touched :sleep :wave :swear :tongue :what :faint :dunno
Options

Go back

Topic review (newest first)

bobbym
2013-11-25 22:04:22

Very good!

niharika_kumar
2013-11-25 21:41:53

thanks again! smile
I initially couldn't understand it clearly.
thanks again.....

bobbym
2013-11-24 21:52:42

Hi;

When you have a series you must guess at the general term. You can play spot the pattern or you can use curve fitting but you will come up with



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.

Nehushtan
2013-11-24 19:01:38

Often in mathematics you just have to be imaginative in going about solving problems.

niharika_kumar
2013-11-24 16:40:25

so here the answer is

.right?
its a nice method smile but if we have just one equation like

what do we need to do now?

bobbym
2013-11-24 15:40:16

Hi;





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.

niharika_kumar
2013-11-24 15:21:40

pls. explain

bobbym
2013-11-24 15:10:55

Nope, it is rather easy! No computation necessary.

niharika_kumar
2013-11-24 15:10:12

and if there is a long series, then is it necessary to compute each one?
don't you think it will be time consuming.

bobbym
2013-11-24 15:08:26

Did you get the answer?

bob bundy
2013-11-22 19:49:41

hi niharika_kumar



You'll find every fraction can be split like this and then you can do a lot of cancelling out.  smile

Bob

bobbym
2013-11-22 17:14:36

Here is a little hint:

niharika_kumar
2013-11-22 17:03:39

pls explain.

gAr
2013-11-22 16:25:04

Hi,

Think "partial fractions" and "telescoping series".

niharika_kumar
2013-11-22 16:02:11

pls tell me is there any easier way to solve the following:-

Board footer

Powered by FluxBB