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Geometric Mean of First N Natural Numbers Formula

GoGeometric Mean of Two Numbers Formula

GoGeometric Mean given Arithmetic and Harmonic Means Formula

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

GM = {(n!)}^{\frac{1}{n}}

GM - Geometric Mean?n - Total Numbers?

Geometric Mean of First N Natural Numbers Example

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

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

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

2.6052 = {(5!)}^{\frac{1}{5}}

2.6052 = {(5!)}^{\frac{1}{5}}

2.6052 = {(5!)}^{\frac{1}{5}}

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Geometric Mean of First N Natural Numbers Solution

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

FIRST Step Consider the formula

GM = {(n!)}^{\frac{1}{n}}

Next Step Substitute values of Variables

∴

GM = {(5!)}^{\frac{1}{5}}

Next Step Prepare to Evaluate

∴

GM = {(5!)}^{\frac{1}{5}}

Next Step Evaluate

∴

GM = 2.60517108469735

LAST Step Rounding Answer

∴

GM = 2.6052

Geometric Mean of First N Natural Numbers Formula Elements

Variables

Geometric Mean

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

Symbol: GM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Geometric 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 Geometric Mean

Go Geometric Mean of Two Numbers

GM = \sqrt{n 1 \cdot n 2}

Go Geometric Mean given Arithmetic and Harmonic Means

GM = \sqrt{AM \cdot HM}

Go Geometric Mean of Three Numbers

GM = {(n 1 \cdot n 2 \cdot n 3)}^{\frac{1}{3}}

Go Geometric Mean of N Numbers

GM = {(P Geometric)}^{\frac{1}{n}}

How to Evaluate Geometric Mean of First N Natural Numbers?

Geometric Mean of First N Natural Numbers evaluator uses Geometric Mean = (Total Numbers!)^(1/Total Numbers) to evaluate the Geometric Mean, The Geometric Mean of First N Natural Numbers formula is defined as the average value or mean which signifies the central tendency of the set of first n natural numbers by finding the product of their values. Geometric Mean is denoted by GM symbol.

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

FAQs on Geometric Mean of First N Natural Numbers

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

The formula of Geometric Mean of First N Natural Numbers is expressed as Geometric Mean = (Total Numbers!)^(1/Total Numbers). Here is an example- 2.605171 = (5!)^(1/5).

How to calculate Geometric Mean of First N Natural Numbers?

With Total Numbers (n) we can find Geometric Mean of First N Natural Numbers using the formula - Geometric Mean = (Total Numbers!)^(1/Total Numbers).

What are the other ways to Calculate Geometric Mean?

Here are the different ways to Calculate Geometric Mean-

Geometric Mean=sqrt(First Number*Second Number)
Geometric Mean=sqrt(Arithmetic Mean*Harmonic Mean)
Geometric Mean=(First Number*Second Number*Third Number)^(1/3)

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