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

Home > Just Math
Summing inverses II (Posted on 2012-03-16) Difficulty: 3 of 5
The sum of the reciprocal of the square root of all the positive integers up to n is denoted by F(n), that is:

F(n) = 1+1/√2 + 1/√3 +...+ 1/√n

Determine the maximum value of n such that the integer part of the base ten expansion of F(n) DOES NOT exceed 2012.

*** For an extra challenge, solve this puzzle without using a computer program.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/TipsHintK Sengupta2012-03-19 02:39:43
re: solution YOUR ACCURACY IS MUCH BETTER:Ady TZIDON2012-03-17 15:05:20
SolutionsolutionDej Mar2012-03-17 13:47:03
Some Thoughtsre(3): computer solutionAdy TZIDON2012-03-17 03:18:45
Now I've seen how it's done...broll2012-03-17 02:11:19
re(3): computer solution- my accuracyCharlie2012-03-17 00:34:05
re(2): computer solution- my accuracyAdy TZIDON2012-03-16 19:41:15
Solutionre(2): computer solutionCharlie2012-03-16 16:57:55
Some ThoughtsMy approximationAdy TZIDON2012-03-16 14:37:00
re: computer solutionK Sengupta2012-03-16 14:18:30
Solutioncomputer solutionCharlie2012-03-16 12:46:14
a trybroll2012-03-16 12:13:40
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information