perplexus.info :: Just Math : Interesting Function (2)

Interesting Function (2) (Posted on 2004-09-03)

Given: f is a function with domain and range of the positive integers, and f satisfies these two conditions:

(1) f(n+1) > f(n); that is, f is strictly increasing, and

(2) f(f(n)) = 3n

Find all possible values of f(955)

See The Solution Submitted by SilverKnight

Rating: 3.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Real numbers

| Comment 3 of 6 |

I noticed that if the problem had stated a domain and range of positive real numbers instead of integers, then f(n)=n*sqrt(3).

Posted by Brian Smith on 2004-09-03 15:54:33

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info