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
Hi again Ashish,
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
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