g i f

\hspace{-16}\mathbb{I}$f $\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then $\bf{\lfloor n \rfloor}$ is \\\\\\ Where $\bf{\lfloor x \rfloor = }$Floor Sum.

2 Answers

21
Arnab Kundu ·

Let H be the HM of 1980,1981,...,2012.

Then the expression is \lfloor H/33\rfloor
As, 2012>H>1980.

We get answer 60.

21
kumar krishna agarwal ·

This is based on the fact that the harmonic mean of n integers lies between the smallest and the largest numbers in the list.

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