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

Home > Just Math
Rooted to the Floor II (Posted on 2014-09-08) Difficulty: 3 of 5
Define F(x) = floor(4√x).

Find the value of :

1/F(1) + 1/F(2) +....+ 1/F(2014)

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Pencil and paper solution Comment 3 of 3 |
(In reply to Pencil and paper solution by Steve Herman)

A reformulation I like:


(16-1)/1 + (81-16)/2 + (256-81)/3 + (625-256)/4 + (1296 - 625)/5 + (2015 - 1296)/6 =

2015/6 + 1296/(5*6) + 625/(4*5) + 256/(3*4) + 81/(2*3) + 16/(2*1) - 1/1 =

(2015*10 + 1296*2 + 625*3 + 256*5 + 81*10 + 16*30 - 60)/60

  Posted by Steve Herman on 2014-09-09 10:31:53
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information