Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
[SOLVED] While I'm not terribly busy, have this as a challenge problem.
What are the next two numbers in this sequence of four digit positive integers? \[8741, 7632, 6552, 9963, 6642, \_\_\_\_, \_\_\_\_\]
 one year ago
 one year ago
[SOLVED] While I'm not terribly busy, have this as a challenge problem. What are the next two numbers in this sequence of four digit positive integers? \[8741, 7632, 6552, 9963, 6642, \_\_\_\_, \_\_\_\_\]
 one year ago
 one year ago

This Question is Closed

shubhamsrgBest ResponseYou've already chosen the best response.3
i have heard about this before ans is 7641,7641 please confirm
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.3
i also know the deep theory behind it,though roughly only..
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
@shubhamsrg I would like to know the reason
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.3
i'd want to confirm @KingGeorge to confirm the ans first.. otherwise am 99% convinced am correct.. i'll message you the reason..
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
Looks like u r right @shubhamsrg
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
We have a winner! Excellent work. I was wondering how long it would be until someone noticed the pattern :P
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
For those wondering what the pattern is, you take the starting number, order the digits in increasing order to create one new number, and order the digits in decreasing order to create a second number. Then, you subtract the smaller number from the larger number, and repeat the process with your new number. As I did above, 87411478=7263 76322367=5265 65522556=3996 99633699=6264 66422466=4176 76411467=6174 Curiously enough, if you do this pattern for any positive 4digit number, you always get 6174 after 7 steps or less. See here for more info. http://en.wikipedia.org/wiki/6174_(number)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Wow, that's a nice conjecture! :) Can it be prove? @KingGeorge
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
@ParthKohli I do not have the required knowledge to prove it other than through brute force. However, it can be proven with brute force. I should also qualify that there are some numbers (1111, 1211, 4443, 4444, etc) that do not reach 6174, and instead reach 0.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.