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Last Term of Geometric Progression Formula

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

l = a \cdot r^{n Total - 1}

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

Last Term of Geometric Progression Example

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

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

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

1536 = 3 \cdot 2^{10 - 1}

1536 = 3 \cdot 2^{10 - 1}

1536 = 3 \cdot 2^{10 - 1}

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Last Term of Geometric Progression Solution

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

FIRST Step Consider the formula

l = a \cdot r^{n Total - 1}

Next Step Substitute values of Variables

∴

l = 3 \cdot 2^{10 - 1}

Next Step Prepare to Evaluate

∴

l = 3 \cdot 2^{10 - 1}

LAST Step Evaluate

∴

l = 1536

Last Term of Geometric Progression Formula Elements

Variables

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

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

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

Other formulas in First and Last Term of Geometric Progression category

Go First Term of Geometric Progression

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

How to Evaluate Last Term of Geometric Progression?

Last Term of Geometric Progression evaluator uses Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1) to evaluate the Last Term of Progression, The Last Term of Geometric Progression formula is defined as the term at which the given Geometric Progression terminates. Last Term of Progression is denoted by l symbol.

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

FAQs on Last Term of Geometric Progression

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

The formula of Last Term of Geometric Progression is expressed as Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1). Here is an example- 384 = 3*2^(10-1).

How to calculate Last Term of Geometric Progression?

With First Term of Progression (a), Common Ratio of Progression (r) & Number of Total Terms of Progression (n_Total) we can find Last Term of Geometric Progression using the formula - Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1).

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Last Term of Geometric Progression Formula

Last Term of Geometric Progression Example

Last Term of Geometric Progression Solution

Last Term of Geometric Progression Formula Elements

Other formulas in First and Last Term of Geometric Progression category

How to Evaluate Last Term of Geometric Progression?

FAQs on Last Term of Geometric Progression

Variable Name