All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Going Greatest With Arithmetic, Geometric And Harmonic (Posted on 2008-03-22) Difficulty: 2 of 5
(A) Determine all possible non zero real P such that {P}, [P] and P are in arithmetic sequence.

(B) Determine all possible non zero real Q such that {Q}, [Q] and Q are in geometric sequence.

(C) Determine all possible non zero real R such that [R], {R} and R are in geometric sequence.

(D) Determine all possible non zero real S such that {S}, [S] and S are in harmonic sequence.

Note: [x] is defined as the greatest integer ≤ x and {x} = x - [x]

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solutions | Comment 2 of 5 |
(In reply to solutions by Charlie)

As to your "almost" answer to (A), as the floor function, [x], returns the highest integer equal to or less than x, [2.999999...] would not return 2, but 3, as 2.999999... is defined as equal to 3.  Therefore, I can not see it as "almost" 2.999999..., unless we "almost" redefine the floor function. 


  Posted by Dej Mar on 2008-03-23 01:48:52
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 (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information