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Sum of Total Terms of Geometric Progression Formula

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The Sum of Total Terms of Progression is the summation of the terms starting from the first to the last term of given Progression. Check FAQs

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

S_Total - Sum of Total Terms of Progression?a - First Term of Progression?r - Common Ratio of Progression?n_Total - Number of Total Terms of Progression?

Sum of Total Terms of Geometric Progression Example

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Here is how the Sum of Total Terms of Geometric Progression equation looks like with Values.

Here is how the Sum of Total Terms of Geometric Progression equation looks like with Units.

Here is how the Sum of Total Terms of Geometric Progression equation looks like.

3069 = \frac{3 \cdot (2^{10} - 1)}{2 - 1}

3069 = \frac{3 \cdot (2^{10} - 1)}{2 - 1}

3069 = \frac{3 \cdot (2^{10} - 1)}{2 - 1}

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Sum of Total Terms of Geometric Progression Solution

Follow our step by step solution on how to calculate Sum of Total Terms of Geometric Progression?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S Total = \frac{3 \cdot (2^{10} - 1)}{2 - 1}

Next Step Prepare to Evaluate

∴

S Total = \frac{3 \cdot (2^{10} - 1)}{2 - 1}

LAST Step Evaluate

∴

S Total = 3069

Sum of Total Terms of Geometric Progression Formula Elements

Variables

Sum of Total Terms of Progression

The Sum of Total Terms of Progression is the summation of the terms starting from the first to the last term of given Progression.

Symbol: S_Total

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Total Terms 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 Sum of Terms 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 Nth Term of Geometric Progression

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

Go Sum of First N Terms of Geometric Progression

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

How to Evaluate Sum of Total Terms of Geometric Progression?

Sum of Total Terms of Geometric Progression evaluator uses Sum of Total Terms of Progression = (First Term of Progression*(Common Ratio of Progression^(Number of Total Terms of Progression)-1))/(Common Ratio of Progression-1) to evaluate the Sum of Total Terms of Progression, The Sum of Total Terms of Geometric Progression formula is defined as the summation of the terms starting from the first to the last term of given Geometric Progression. Sum of Total Terms of Progression is denoted by S_Total symbol.

How to evaluate Sum of Total Terms of Geometric Progression using this online evaluator? To use this online evaluator for Sum of Total Terms 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 Sum of Total Terms of Geometric Progression

What is the formula to find Sum of Total Terms of Geometric Progression?

The formula of Sum of Total Terms of Geometric Progression is expressed as Sum of Total Terms of Progression = (First Term of Progression*(Common Ratio of Progression^(Number of Total Terms of Progression)-1))/(Common Ratio of Progression-1). Here is an example- 3069 = (3*(2^(10)-1))/(2-1).

How to calculate Sum of Total Terms 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 Sum of Total Terms of Geometric Progression using the formula - Sum of Total Terms of Progression = (First Term of Progression*(Common Ratio of Progression^(Number of Total Terms of Progression)-1))/(Common Ratio of Progression-1).

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Sum of Total Terms of Geometric Progression Formula

Sum of Total Terms of Geometric Progression Example

Sum of Total Terms of Geometric Progression Solution

Sum of Total Terms of Geometric Progression Formula Elements

Other formulas in Sum of Terms of Geometric Progression category

How to Evaluate Sum of Total Terms of Geometric Progression?

FAQs on Sum of Total Terms of Geometric Progression

Variable Name