Q- Find the sum of the series -

1+1/3+1/6+1/10+1/15+...........

what should be our approach to solve these kind of questions ?

Thanks,

Ashish

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- April 8th 2009, 02:19 AMa69356Sequence and series
Q- Find the sum of the series -

1+1/3+1/6+1/10+1/15+...........

what should be our approach to solve these kind of questions ?

Thanks,

Ashish - April 8th 2009, 02:50 AMrunning-gag
Hi

I presume that you know that

Therefore

__Spoiler__: - April 8th 2009, 02:53 AMADARSH
Hi again Ashish(Hi),

I think you must have guessed that

the general term of this series is

You need to find

Now all we are doing here is write every term

as

this will make many terms cancel like the previous question

-----------------------------------

Final answer is

__Spoiler__:

use similar approach (Happy) - April 8th 2009, 02:55 AMGrandadSum of series
Hello AshishFirst, you need to determine a formula for the term of the series.

The denominators are whose consecutive differences are

These are simply the sums of the series So the term is the sum of the series

So the original series is:

Using notation, then, we have to find

This you do using Partial Fractions:

Grandad

- April 8th 2009, 03:52 AMa69356
Thanks a lot to all of you for quick reply.... (Clapping)