perplexus.info :: Just Math : Form Finding From Solution

Form Finding From Solution (Posted on 2016-09-05)

Consider the equation:
P₁* P₂ + P₂* P₃+…..+ P_n-1* P_n + P_n* P₁ = 0, where n is a positive integer, and each P_i= 1 or -1

Derive the general form of n such that the above equation has at least one valid solution.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Multiples of 4 are the only cases for n that work.
For a proof of the statement given above, refer to the solution provided by Charlie in this location.
A due verification of the foregoing has been performed by Brian Smith in this location..

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: seems to be a solution	Brian Smith	2016-09-05 12:56:31
seems to be a solution	Charlie	2016-09-05 12:35:06

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info