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.
(In reply to solution
by Dej Mar)
YOUR ACCURACY IS MUCH BETTER:
ACCEPT n as an average:
40.5/1014512=3.992*10^(-5) or about 0.004 %