perplexus.info :: Just Math : Summing inverses II

Summing inverses II (Posted on 2012-03-16)

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

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Subject	Author	Date
Hint	K Sengupta	2012-03-19 02:39:43
re: solution YOUR ACCURACY IS MUCH BETTER:	Ady TZIDON	2012-03-17 15:05:20
solution	Dej Mar	2012-03-17 13:47:03
re(3): computer solution	Ady TZIDON	2012-03-17 03:18:45
Now I've seen how it's done...	broll	2012-03-17 02:11:19
re(3): computer solution- my accuracy	Charlie	2012-03-17 00:34:05
re(2): computer solution- my accuracy	Ady TZIDON	2012-03-16 19:41:15
re(2): computer solution	Charlie	2012-03-16 16:57:55
My approximation	Ady TZIDON	2012-03-16 14:37:00
re: computer solution	K Sengupta	2012-03-16 14:18:30
computer solution	Charlie	2012-03-16 12:46:14
a try	broll	2012-03-16 12:13:40

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