How to find this in series notation
Favorites|Homepage
Subscriptions | sitemap
HOME > > How to find this in series notation

How to find this in series notation

[From: ] [author: ] [Date: 12-01-26] [Hit: ]
..= (2/5) + [(2/5) * (2+4)/(5+3)] + [(2/5) * (2+4)/(5+3) * (2+2*4)/(5+2*3)] + ...So,......
(2/5) + (2/5 * 6/8) * (2/5 * 6/8 * 10/11) * (2/5 * 6/8 * 10/11 * 14/14)....

-
Note that
(2/5) + (2/5 * 6/8) + (2/5 * 6/8 * 10/11) + (2/5 * 6/8 * 10/11 * 14/14) + ...
= (2/5) + [(2/5) * (2+4)/(5+3)] + [(2/5) * (2+4)/(5+3) * (2+2*4)/(5+2*3)] + ...

So, we can write this in summation notation as
Σ(n = 0 to ∞) (2 * 5 * ... * (2 + 4n))/(5 * 8 * ... * (5 + 3n)).

I hope this helps!
1
keywords: to,in,How,series,this,find,notation,How to find this in series notation
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .