A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Number 3 and its magic powers.
Does anybody know how the set of 1 3 9 27 81,... with two operations + and  can generate all integers, each member is used once. For example:32=27+931
 2 years ago
Number 3 and its magic powers. Does anybody know how the set of 1 3 9 27 81,... with two operations + and  can generate all integers, each member is used once. For example:32=27+931

This Question is Closed

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.01=1 2=31 3=3 4=3+1 5=931 6=93 7=93+1 8=91 9=9 10=9+1 11=9+31 12=9+3 13=9+3+1 so we can make 113 with 1,3,9 14=2713 15=2712 16=2711 .... 28=27+1 29=27+2 ... 40=27+13 It shows we could make all 140 now 41=8140 42=8139 ..... 100=81+19 ... 121=81+40 then we can continue and proof by induction method.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.