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Common Ratio of Geometric Progression given Nth Term Formula

GoCommon Ratio of Geometric Progression Formula

GoCommon Ratio of Geometric Progression given Last Term Formula

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The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression. Check FAQs

r = {(\frac{T n}{a})}^{\frac{1}{n - 1}}

r - Common Ratio of Progression?T_n - Nth Term of Progression?a - First Term of Progression?n - Index N of Progression?

Common Ratio of Geometric Progression given Nth Term Example

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Here is how the Common Ratio of Geometric Progression given Nth Term equation looks like with Values.

Here is how the Common Ratio of Geometric Progression given Nth Term equation looks like with Units.

Here is how the Common Ratio of Geometric Progression given Nth Term equation looks like.

1.8206 = {(\frac{60}{3})}^{\frac{1}{6 - 1}}

1.8206 = {(\frac{60}{3})}^{\frac{1}{6 - 1}}

1.8206 = {(\frac{60}{3})}^{\frac{1}{6 - 1}}

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Common Ratio of Geometric Progression given Nth Term Solution

Follow our step by step solution on how to calculate Common Ratio of Geometric Progression given Nth Term?

FIRST Step Consider the formula

r = {(\frac{T n}{a})}^{\frac{1}{n - 1}}

Next Step Substitute values of Variables

∴

r = {(\frac{60}{3})}^{\frac{1}{6 - 1}}

Next Step Prepare to Evaluate

∴

r = {(\frac{60}{3})}^{\frac{1}{6 - 1}}

Next Step Evaluate

∴

r = 1.82056420302608

LAST Step Rounding Answer

∴

r = 1.8206

Common Ratio of Geometric Progression given Nth Term Formula Elements

Variables

Common Ratio of Progression

The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Ratio of Progression

Nth Term of Progression

The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.

Symbol: T_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nth Term of Progression

First Term of Progression

The First Term of Progression is the term at which the given Progression starts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Term of Progression

Index N of Progression

The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Index N of Progression

Other Formulas to find Common Ratio of Progression

Go Common Ratio of Geometric Progression

r = \frac{T n}{T n-1}

Go Common Ratio of Geometric Progression given Last Term

r = {(\frac{l}{a})}^{\frac{1}{n Total - 1}}

How to Evaluate Common Ratio of Geometric Progression given Nth Term?

Common Ratio of Geometric Progression given Nth Term evaluator uses Common Ratio of Progression = (Nth Term of Progression/First Term of Progression)^(1/(Index N of Progression-1)) to evaluate the Common Ratio of Progression, The Common Ratio of Geometric Progression given Nth Term formula is defined as the ratio of any term in the Geometric Progression to its preceding term and calculated using the nth term of Geometric Progression. Common Ratio of Progression is denoted by r symbol.

How to evaluate Common Ratio of Geometric Progression given Nth Term using this online evaluator? To use this online evaluator for Common Ratio of Geometric Progression given Nth Term, enter Nth Term of Progression (T_n), First Term of Progression (a) & Index N of Progression (n) and hit the calculate button.

FAQs on Common Ratio of Geometric Progression given Nth Term

What is the formula to find Common Ratio of Geometric Progression given Nth Term?

The formula of Common Ratio of Geometric Progression given Nth Term is expressed as Common Ratio of Progression = (Nth Term of Progression/First Term of Progression)^(1/(Index N of Progression-1)). Here is an example- 3.405934 = (60/3)^(1/(6-1)).

How to calculate Common Ratio of Geometric Progression given Nth Term?

With Nth Term of Progression (T_n), First Term of Progression (a) & Index N of Progression (n) we can find Common Ratio of Geometric Progression given Nth Term using the formula - Common Ratio of Progression = (Nth Term of Progression/First Term of Progression)^(1/(Index N of Progression-1)).

What are the other ways to Calculate Common Ratio of Progression?

Here are the different ways to Calculate Common Ratio of Progression-

Common Ratio of Progression=Nth Term of Progression/(N-1)th Term of Progression
Common Ratio of Progression=(Last Term of Progression/First Term of Progression)^(1/(Number of Total Terms of Progression-1))

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Common Ratio of Geometric Progression given Nth Term Formula

​GoCommon Ratio of Geometric Progression Formula

​GoCommon Ratio of Geometric Progression given Last Term Formula

Common Ratio of Geometric Progression given Nth Term Example

Common Ratio of Geometric Progression given Nth Term Solution

Common Ratio of Geometric Progression given Nth Term Formula Elements

Other Formulas to find Common Ratio of Progression

How to Evaluate Common Ratio of Geometric Progression given Nth Term?

FAQs on Common Ratio of Geometric Progression given Nth Term

Variable Name

GoCommon Ratio of Geometric Progression Formula

GoCommon Ratio of Geometric Progression given Last Term Formula