Numbers are written in a circle. In this circle of numbers there are m numbers which are equal to 2, so the other numbers of the circle are equal to 1. Every number x in the circle is adjacent to two numbers of which at least one is not equal to x. Every number x is multiplied by the numbers that x is adjacent to: y and z. Sum of all of the multiplications xyz is equal to 2021202. Find all of the possible m values.
Problem with a circle of numbers
- Thread starter k1x
- Start date
Cubist
Senior Member
- Joined
- Oct 29, 2019
- Messages
- 1,666
What are your thoughts on this problem? Please show us what have you tried so far, so that we can help you...
I'd start off by considering all possible chains of number 2 under this system, so let A be an element of { 2, 22, 222, 2222, ... }. Which of these chains could A be, given the rules you mention, also given that " 1A1 " is to be a sub-section of the circle? How would you continue?
Posting Guidelines (Summary)
Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...
www.freemathhelp.com
I'd start off by considering all possible chains of number 2 under this system, so let A be an element of { 2, 22, 222, 2222, ... }. Which of these chains could A be, given the rules you mention, also given that " 1A1 " is to be a sub-section of the circle? How would you continue?