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Common Ratio of Geometric Progression given Last Term Formula

GoCommon Ratio of Geometric Progression Formula

GoCommon Ratio of Geometric Progression given Nth 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{l}{a})}^{\frac{1}{n Total - 1}}

r - Common Ratio of Progression?l - Last Term of Progression?a - First Term of Progression?n_Total - Number of Total Terms of Progression?

Common Ratio of Geometric Progression given Last Term Example

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

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

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

1.4764 = {(\frac{100}{3})}^{\frac{1}{10 - 1}}

1.4764 = {(\frac{100}{3})}^{\frac{1}{10 - 1}}

1.4764 = {(\frac{100}{3})}^{\frac{1}{10 - 1}}

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Common Ratio of Geometric Progression given Last Term Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = {(\frac{100}{3})}^{\frac{1}{10 - 1}}

Next Step Prepare to Evaluate

∴

r = {(\frac{100}{3})}^{\frac{1}{10 - 1}}

Next Step Evaluate

∴

r = 1.47641602193981

LAST Step Rounding Answer

∴

r = 1.4764

Common Ratio of Geometric Progression given Last 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

Last Term of Progression

The Last Term of Progression is the term at which the given Progression terminates.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Last 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

Number of Total Terms of Progression

The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.

Symbol: n_Total

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Total Terms of Progression

Credits

Created by Nikita Salampuria

The National Institute of Engineering (NIE), Mysuru

Nikita Salampuria has created this Formula and 25+ more formulas!

Verified by Nayana Phulphagar

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

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

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 Nth Term

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

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

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

How to evaluate Common Ratio of Geometric Progression given Last Term using this online evaluator? To use this online evaluator for Common Ratio of Geometric Progression given Last Term, enter Last Term of Progression (l), First Term of Progression (a) & Number of Total Terms of Progression (n_Total) and hit the calculate button.

FAQs on Common Ratio of Geometric Progression given Last Term

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

The formula of Common Ratio of Geometric Progression given Last Term is expressed as Common Ratio of Progression = (Last Term of Progression/First Term of Progression)^(1/(Number of Total Terms of Progression-1)). Here is an example- 1.650267 = (100/3)^(1/(10-1)).

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

With Last Term of Progression (l), First Term of Progression (a) & Number of Total Terms of Progression (n_Total) we can find Common Ratio of Geometric Progression given Last Term using the formula - Common Ratio of Progression = (Last Term of Progression/First Term of Progression)^(1/(Number of Total Terms 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=(Nth Term of Progression/First Term of Progression)^(1/(Index N of Progression-1))

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Common Ratio of Geometric Progression given Last Term Formula

​GoCommon Ratio of Geometric Progression Formula

​GoCommon Ratio of Geometric Progression given Nth Term Formula

Common Ratio of Geometric Progression given Last Term Example

Common Ratio of Geometric Progression given Last Term Solution

Common Ratio of Geometric Progression given Last Term Formula Elements

Credits

Other Formulas to find Common Ratio of Progression

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

FAQs on Common Ratio of Geometric Progression given Last Term

Variable Name

GoCommon Ratio of Geometric Progression Formula

GoCommon Ratio of Geometric Progression given Nth Term Formula