Geometric Mean of First N Natural Numbers Calculator

✖Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.ⓘ Total Numbers [n]

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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.ⓘ Geometric Mean of First N Natural Numbers [GM]

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Formula

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Geometric Mean of First N Natural Numbers

Formula

`"GM" = ("n"!)^(1/"n")`

Example

`"2.605171"=("5"!)^(1/"5")`

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Geometric Mean of First N Natural Numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Geometric Mean = (Total Numbers!)^(1/Total Numbers)
GM = (n!)^(1/n)
This formula uses 2 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Total Numbers: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GM = (n!)^(1/n) --> (5!)^(1/5)

Evaluating ... ...

GM = 2.60517108469735

STEP 3: Convert Result to Output's Unit

2.60517108469735 --> No Conversion Required

FINAL ANSWER

2.60517108469735 ≈ 2.605171 <-- Geometric Mean

(Calculation completed in 00.004 seconds)

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Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 6 Geometric Mean Calculators

Geometric Mean of Four Numbers

Go Geometric Mean = (First Number*Second Number*Third Number*Fourth Number)^(1/4)

Geometric Mean of Three Numbers

Go Geometric Mean = (First Number*Second Number*Third Number)^(1/3)

Geometric Mean given Arithmetic and Harmonic Means

Go Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)

Geometric Mean of Two Numbers

Go Geometric Mean = sqrt(First Number*Second Number)

Geometric Mean of N Numbers

Go Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)

Geometric Mean of First N Natural Numbers

Go Geometric Mean = (Total Numbers!)^(1/Total Numbers)

Geometric Mean of First N Natural Numbers Formula

Geometric Mean = (Total Numbers!)^(1/Total Numbers)
GM = (n!)^(1/n)

What is Geometric Mean?

Geometric Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. If the set of numbers has total n numbers then the Geometric Mean is calculated by taking the nth root of the product of all the numbers. The Geometric Mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or interest rates of a financial investment over time.

How to Calculate Geometric Mean of First N Natural Numbers?

Geometric Mean of First N Natural Numbers calculator uses Geometric Mean = (Total Numbers!)^(1/Total Numbers) to calculate 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 calculate Geometric Mean of First N Natural Numbers using this online calculator? To use this online calculator for Geometric Mean of First N Natural Numbers, enter Total Numbers (n) and hit the calculate button. Here is how the Geometric Mean of First N Natural Numbers calculation can be explained with given input values -> 2.605171 = (5!)^(1/5).

FAQ

What is Geometric Mean of First N Natural Numbers?

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 and is represented as GM = (n!)^(1/n) or Geometric Mean = (Total Numbers!)^(1/Total Numbers). Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.

How to calculate Geometric Mean of First N Natural Numbers?

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 is calculated using Geometric Mean = (Total Numbers!)^(1/Total Numbers). To calculate Geometric Mean of First N Natural Numbers, you need Total Numbers (n). With our tool, you need to enter the respective value for Total Numbers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Geometric Mean?

In this formula, Geometric Mean uses Total Numbers. We can use 5 other way(s) to calculate the same, which is/are as follows -

Geometric Mean = sqrt(First Number*Second Number)
Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)
Geometric Mean = (First Number*Second Number*Third Number)^(1/3)
Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)
Geometric Mean = (First Number*Second Number*Third Number*Fourth Number)^(1/4)

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