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Harmonic Mean of Reciprocal of First N Natural Numbers Formula

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula

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Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values. Check FAQs

HM = \frac{2}{n + 1}

HM - Harmonic Mean?n - Total Numbers?

Harmonic Mean of Reciprocal of First N Natural Numbers Example

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Here is how the Harmonic Mean of Reciprocal of First N Natural Numbers equation looks like with Values.

Here is how the Harmonic Mean of Reciprocal of First N Natural Numbers equation looks like with Units.

Here is how the Harmonic Mean of Reciprocal of First N Natural Numbers equation looks like.

0.3333 = \frac{2}{5 + 1}

0.3333 = \frac{2}{5 + 1}

0.3333 = \frac{2}{5 + 1}

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Harmonic Mean of Reciprocal of First N Natural Numbers Solution

Follow our step by step solution on how to calculate Harmonic Mean of Reciprocal of First N Natural Numbers?

FIRST Step Consider the formula

HM = \frac{2}{n + 1}

Next Step Substitute values of Variables

∴

HM = \frac{2}{5 + 1}

Next Step Prepare to Evaluate

∴

HM = \frac{2}{5 + 1}

Next Step Evaluate

∴

HM = 0.333333333333333

LAST Step Rounding Answer

∴

HM = 0.3333

Harmonic Mean of Reciprocal of First N Natural Numbers Formula Elements

Variables

Harmonic Mean

Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values.

Symbol: HM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Harmonic Mean

Total Numbers

Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Numbers

Other Formulas to find Harmonic Mean

Go Harmonic Mean of Two Numbers

HM = \frac{2 \cdot n 1 \cdot n 2}{n 1 + n 2}

Go Harmonic Mean given Arithmetic and Geometric Means

HM = \frac{{GM}^{2}}{AM}

Go Harmonic Mean of N Numbers

HM = \frac{n}{S Harmonic}

Go Harmonic Mean of Three Numbers

HM = \frac{3}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3}}

How to Evaluate Harmonic Mean of Reciprocal of First N Natural Numbers?

Harmonic Mean of Reciprocal of First N Natural Numbers evaluator uses Harmonic Mean = 2/(Total Numbers+1) to evaluate the Harmonic Mean, The Harmonic Mean of Reciprocal of First N Natural Numbers formula is defined as the average value or mean which signifies the central tendency of the set of reciprocal of first n natural numbers by finding the reciprocal of their values. Harmonic Mean is denoted by HM symbol.

How to evaluate Harmonic Mean of Reciprocal of First N Natural Numbers using this online evaluator? To use this online evaluator for Harmonic Mean of Reciprocal of First N Natural Numbers, enter Total Numbers (n) and hit the calculate button.

FAQs on Harmonic Mean of Reciprocal of First N Natural Numbers

What is the formula to find Harmonic Mean of Reciprocal of First N Natural Numbers?

The formula of Harmonic Mean of Reciprocal of First N Natural Numbers is expressed as Harmonic Mean = 2/(Total Numbers+1). Here is an example- 0.333333 = 2/(5+1).

How to calculate Harmonic Mean of Reciprocal of First N Natural Numbers?

With Total Numbers (n) we can find Harmonic Mean of Reciprocal of First N Natural Numbers using the formula - Harmonic Mean = 2/(Total Numbers+1).

What are the other ways to Calculate Harmonic Mean?

Here are the different ways to Calculate Harmonic Mean-

Harmonic Mean=(2*First Number*Second Number)/(First Number+Second Number)
Harmonic Mean=(Geometric Mean^2)/Arithmetic Mean
Harmonic Mean=Total Numbers/Harmonic Sum of Numbers

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