|
|
| Author |
Message |
karthik science forum beginner
Joined: 28 Jun 2006
Posts: 2
|
Posted: Wed Jun 28, 2006 5:09 pm Post subject:
sequence sum
|
|
|
Hi friends,
can anyone plz help me out in solving this problem.
The problem goes something like this.
Derive a formula to find the sum of the following series.
sqrt(1)+sqrt(2)+sqrt(3)+sqrt(4)+ - - - - - - - - - - - +sqrt(n) where
n>=1
regards,
karthik. |
|
| Back to top |
|
 |
Dave L. Renfro science forum Guru
Joined: 29 Apr 2005
Posts: 570
|
Posted: Wed Jun 28, 2006 6:11 pm Post subject:
Re: sequence sum
|
|
|
karthik wrote:
| Quote: | can anyone plz help me out in solving this problem.
The problem goes something like this.
Derive a formula to find the sum of the following series.
sqrt(1)+sqrt(2)+sqrt(3)+sqrt(4)+ - - - - - - - - - - - +sqrt(n)
where n>=1
|
I don't think there's a simple closed form expression for
this sum, but you can use left-endpoint and right-endpoint
Riemann sums for y = sqrt(x) with delta(x) = 1 on the
interval [0,n] to see that a rough estimate for the
sum is n^(3/2). For slightly more details on this,
see my post at
The Math Forum, AP-Calculus, 19 May 2006
http://mathforum.org/kb/thread.jspa?messageID=4725124
Dave L. Renfro |
|
| Back to top |
|
 |
Google
|
|
| Back to top |
|
 |
|
|
The time now is Sun Oct 23, 2011 6:19 am | All times are GMT
|
|
Copyright © 2004-2005 DeniX Solutions SRL
|
|
Other DeniX Solutions sites:
Electronics forum |
Medicine forum |
Unix/Linux blog |
Unix/Linux documentation |
Unix/Linux forums |
send newsletters
|
| |
|
Powered by phpBB © 2001, 2005 phpBB Group
|
|