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Nth Term of Arithmetic 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 + ((n - 1) \cdot d)) \cdot (r^{n - 1})

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

Nth Term of Arithmetic Geometric Progression Example

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

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

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

736 = (3 + ((6 - 1) \cdot 4)) \cdot (2^{6 - 1})

736 = (3 + ((6 - 1) \cdot 4)) \cdot (2^{6 - 1})

736 = (3 + ((6 - 1) \cdot 4)) \cdot (2^{6 - 1})

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Nth Term of Arithmetic Geometric Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T n = (3 + ((6 - 1) \cdot 4)) \cdot (2^{6 - 1})

Next Step Prepare to Evaluate

∴

T n = (3 + ((6 - 1) \cdot 4)) \cdot (2^{6 - 1})

LAST Step Evaluate

∴

T n = 736

Nth Term of Arithmetic 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

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

Common Difference of Progression

The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Difference 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

Other formulas in Arithmetic Geometric Progression category

Go Sum of First N Terms of Arithmetic Geometric Progression

S n = (\frac{a - ((a + (n - 1) \cdot d) \cdot r^{n})}{1 - r}) + (d \cdot r \cdot \frac{1 - r^{n - 1}}{{(1 - r)}^{2}})

Go Sum of Infinite Arithmetic Geometric Progression

S ∞ = (\frac{a}{1 - r ∞}) + (\frac{d \cdot r ∞}{{(1 - r ∞)}^{2}})

How to Evaluate Nth Term of Arithmetic Geometric Progression?

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

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

FAQs on Nth Term of Arithmetic Geometric Progression

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

The formula of Nth Term of Arithmetic Geometric Progression is expressed as Nth Term of Progression = (First Term of Progression+((Index N of Progression-1)*Common Difference of Progression))*(Common Ratio of Progression^(Index N of Progression-1)). Here is an example- 736 = (3+((6-1)*4))*(2^(6-1)).

How to calculate Nth Term of Arithmetic Geometric Progression?

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

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Nth Term of Arithmetic Geometric Progression Formula

Nth Term of Arithmetic Geometric Progression Example

Nth Term of Arithmetic Geometric Progression Solution

Nth Term of Arithmetic Geometric Progression Formula Elements

Other formulas in Arithmetic Geometric Progression category

How to Evaluate Nth Term of Arithmetic Geometric Progression?

FAQs on Nth Term of Arithmetic Geometric Progression

Variable Name