My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum

LinkBack Thread Tools Display Modes
November 17th, 2010, 06:40 AM   #1
Joined: Nov 2010

Posts: 1
Thanks: 0

discrete math....i need help

1+2+3+...+(4^2- 1^2- 3) / 2 , the left hand side of this equation is a telescoping sum, namely every time we add a term of the same for part of the new term cancels out part of the existing sum.

1. find the corresponding sum if we add up the first N non-negative integers. this should simplify our formula.
2. adapt this method to find the sum of the squares of the first N -non-negative integers. to obtain the telescoping component, use (m+1)^3 -m^3=3m^2+3m+1
3. this method can be adapted to find the sum of the Kth powers of the first N non-negative integers and the sum of the fourth powers of the first N non-negative integers.

4. find a formula for the sum of the 10th powers of the first N non-negative integers that involves a close form featuring an algebraic combination including N.

help would be appreciated, please number the responses!!
amyporter17 is offline  
November 17th, 2010, 08:23 AM   #2
Global Moderator
CRGreathouse's Avatar
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 938

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: discrete math....i need help
CRGreathouse is offline  

  My Math Forum > College Math Forum > Applied Math

discrete, mathi

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Discrete Math Help? pjlloyd100 Applied Math 11 April 18th, 2013 12:03 PM
Please help - Discrete math OriaG Applied Math 5 February 11th, 2013 11:27 PM
Need help with Discrete math homework! burnyd Algebra 1 December 11th, 2009 01:03 PM
Discrete Math rainysomber Applied Math 10 December 3rd, 2009 03:55 AM
Plz help, no one seem to be able to ! Discrete Math Arturo Applied Math 6 April 3rd, 2008 09:06 PM

Copyright © 2019 My Math Forum. All rights reserved.