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Nth Term of Geometric Progression Formula

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

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

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

Nth Term of Geometric Progression Example

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

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

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

96 = 3 \cdot (2^{6 - 1})

96 = 3 \cdot (2^{6 - 1})

96 = 3 \cdot (2^{6 - 1})

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Nth Term of Geometric Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T n = 3 \cdot (2^{6 - 1})

Next Step Prepare to Evaluate

∴

T n = 3 \cdot (2^{6 - 1})

LAST Step Evaluate

∴

T n = 96

Nth Term of Geometric Progression Formula Elements

Variables

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

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

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 in Nth Term of Geometric Progression category

Go Sum of Infinite Geometric Progression

S ∞ = \frac{a}{1 - r ∞}

Go Common Ratio of Geometric Progression

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

Go Sum of First N Terms of Geometric Progression

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

Go Sum of Last N Terms of Geometric Progression

S n(End) = \frac{l \cdot ({(\frac{1}{r})}^{n} - 1)}{(\frac{1}{r}) - 1}

How to Evaluate Nth Term of Geometric Progression?

Nth Term of Geometric Progression evaluator uses Nth Term of Progression = First Term of Progression*(Common Ratio of Progression^(Index N of Progression-1)) to evaluate the Nth Term of Progression, The Nth Term of Geometric Progression formula is defined as the term corresponding to the index or position n from the beginning of the given Geometric Progression. Nth Term of Progression is denoted by T_n symbol.

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

FAQs on Nth Term of Geometric Progression

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

The formula of Nth Term of Geometric Progression is expressed as Nth Term of Progression = First Term of Progression*(Common Ratio of Progression^(Index N of Progression-1)). Here is an example- 96 = 3*(2^(6-1)).

How to calculate Nth Term of Geometric Progression?

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

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Nth Term of Geometric Progression Formula

Nth Term of Geometric Progression Example

Nth Term of Geometric Progression Solution

Nth Term of Geometric Progression Formula Elements

Other formulas in Nth Term of Geometric Progression category

How to Evaluate Nth Term of Geometric Progression?

FAQs on Nth Term of Geometric Progression

Variable Name