SUMMATION

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
User avatar
SANZEED
Posts: 550
Joined: Wed Dec 28, 2011 6:45 pm
Location: Mymensingh, Bangladesh

SUMMATION

Unread post by SANZEED » Wed Jan 18, 2012 11:37 pm

GENERAL SUMMATION
LET $s(n) = \sum_{k=1}^{n}(p-1+k)Pk$ where p is a given positive integer and nis a natural number.then find a nice simple formula for $s(n)$ involving $n,p$.
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$

User avatar
Phlembac Adib Hasan
Posts: 1016
Joined: Tue Nov 22, 2011 7:49 pm
Location: 127.0.0.1
Contact:

Re: SUMMATION

Unread post by Phlembac Adib Hasan » Thu Jan 19, 2012 11:52 am

Hint:
Remember the process to find $\sum_{k=1}^{n}k(k+1) $.
Welcome to BdMO Online Forum. Check out Forum Guides & Rules

User avatar
SANZEED
Posts: 550
Joined: Wed Dec 28, 2011 6:45 pm
Location: Mymensingh, Bangladesh

Re: SUMMATION

Unread post by SANZEED » Wed Jan 25, 2012 12:40 am

I solved it with induction
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$

Post Reply