Harmonic mean of the reciprocal of even numbers from 2 to 20... | MATH - HARMONIC PROGRESSION | SolveeIt | Solveeit

Today, August 18

Question

Harmonic mean of the reciprocal of even numbers from 2 to 200 is

A

$\frac{1}{101}$

B

$\frac{1}{5050}$

C

$\frac{505}{10}$

D

$\frac{2}{101}$

Answer

$\frac{1}{101}$

Explanation

Solution

H = $\frac{100}{2 + 4 + 6 + 8 + ...... + 200}$

̃ H = $\frac{100}{100(101)}$

̃ H = $\frac{1}{101}$