CTK Exchange
Front Page
Movie shortcuts
Personal info
Awards
Reciprocal links
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Manifesto: what CTK is about |Store| Search CTK Buying a book is a commitment to learning Table of content Things you can find on CTK Chronology of updates Email to Cut The Knot

CTK Exchange

Subject: "MATHEMATICAL INDUCTION"     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange College math Topic #53
Reading Topic #53
JRM
Charter Member
1 posts
Feb-07-01, 09:23 AM (EST)
Click to EMail JRM Click to send private message to JRM Click to view user profileClick to add this user to your buddy list  
"MATHEMATICAL INDUCTION"
 
   PROVE BY MATHEMATICAL INDUCTION:
(A) 1+2+3+...+N=1/2(N)(N+1)
This equality states that the sum of the first n positive integers is equal to 1/2(n)(n+1).
(B) 2+4+6+...+2N=N(N+1)
(C) 4+8+12+...+4N=2N(N+1)
(D) 2 raise to 0 + 2 raise to 1 + 2 raise to 2 +...+ 2 raise to n=2 raise to (n+1) - 1

thanks a lot!


  Alert | IP Printer-friendly page | Edit | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to visit the old CTK Exchange archive.

|Front page| |Contents|

Copyright © 1996-2018 Alexander Bogomolny

[an error occurred while processing this directive]
 Advertise

New Books
Second editions of J. Conway's classic On Numbers And Games and the inimitable Winning Ways for Your Mathematical Plays