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Number of Terms of Geometric Progression Formula

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The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression. Check FAQs

n = \log (r, \frac{T n}{a}) + 1

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

Number of Terms of Geometric Progression Example

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

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

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

5.3219 = \log (2, \frac{60}{3}) + 1

5.3219 = \log (2, \frac{60}{3}) + 1

5.3219 = \log (2, \frac{60}{3}) + 1

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Number of Terms of Geometric Progression Solution

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

FIRST Step Consider the formula

n = \log (r, \frac{T n}{a}) + 1

Next Step Substitute values of Variables

∴

n = \log (2, \frac{60}{3}) + 1

Next Step Prepare to Evaluate

∴

n = \log (2, \frac{60}{3}) + 1

Next Step Evaluate

∴

n = 5.32192809488736

LAST Step Rounding Answer

∴

n = 5.3219

Number of Terms of Geometric Progression Formula Elements

Variables

Functions

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 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

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

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Number of Terms in 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 Number of Terms of Geometric Progression?

Number of Terms of Geometric Progression evaluator uses Index N of Progression = log(Common Ratio of Progression,Nth Term of Progression/First Term of Progression)+1 to evaluate the Index N of Progression, The Number of Terms of Geometric Progression formula is defined as the value of n for the nth term or the position of the nth term in a Geometric Progression. Index N of Progression is denoted by n symbol.

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

FAQs on Number of Terms of Geometric Progression

What is the formula to find Number of Terms of Geometric Progression?

The formula of Number of Terms of Geometric Progression is expressed as Index N of Progression = log(Common Ratio of Progression,Nth Term of Progression/First Term of Progression)+1. Here is an example- 9.840253 = log(2,60/3)+1.

How to calculate Number of Terms of Geometric Progression?

With Common Ratio of Progression (r), Nth Term of Progression (T_n) & First Term of Progression (a) we can find Number of Terms of Geometric Progression using the formula - Index N of Progression = log(Common Ratio of Progression,Nth Term of Progression/First Term of Progression)+1. This formula also uses Logarithmic Inverse Function function(s).

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Number of Terms of Geometric Progression Formula

Number of Terms of Geometric Progression Example

Number of Terms of Geometric Progression Solution

Number of Terms of Geometric Progression Formula Elements

Other formulas in Number of Terms in Geometric Progression category

How to Evaluate Number of Terms of Geometric Progression?

FAQs on Number of Terms of Geometric Progression

Variable Name