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Number of Terms of Harmonic 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 = (\frac{\frac{1}{T n} - a}{d}) + 1

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

Number of Terms of Harmonic Progression Example

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

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

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

0.2542 = (\frac{\frac{1}{60} - 3}{4}) + 1

0.2542 = (\frac{\frac{1}{60} - 3}{4}) + 1

0.2542 = (\frac{\frac{1}{60} - 3}{4}) + 1

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Number of Terms of Harmonic Progression Solution

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

FIRST Step Consider the formula

n = (\frac{\frac{1}{T n} - a}{d}) + 1

Next Step Substitute values of Variables

∴

n = (\frac{\frac{1}{60} - 3}{4}) + 1

Next Step Prepare to Evaluate

∴

n = (\frac{\frac{1}{60} - 3}{4}) + 1

Next Step Evaluate

∴

n = 0.254166666666667

LAST Step Rounding Answer

∴

n = 0.2542

Number of Terms of Harmonic Progression Formula Elements

Variables

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

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 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

Other formulas in Harmonic Progression category

Go Nth Term of Harmonic Progression

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

Go Sum of First N Terms of Harmonic Progression

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

Go Common Difference of Harmonic Progression

d = (\frac{1}{T n} - \frac{1}{T n-1})

Go First Term of Harmonic Progression

a = \frac{1}{T n} - ((n - 1) \cdot d)

How to Evaluate Number of Terms of Harmonic Progression?

Number of Terms of Harmonic Progression evaluator uses Index N of Progression = ((1/Nth Term of Progression-First Term of Progression)/Common Difference of Progression)+1 to evaluate the Index N of Progression, The Number of Terms of Harmonic Progression formula is defined as the total number of terms present in the given sequence of Harmonic Progression. Index N of Progression is denoted by n symbol.

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

FAQs on Number of Terms of Harmonic Progression

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

The formula of Number of Terms of Harmonic Progression is expressed as Index N of Progression = ((1/Nth Term of Progression-First Term of Progression)/Common Difference of Progression)+1. Here is an example- 0.250182 = ((1/60-3)/4)+1.

How to calculate Number of Terms of Harmonic Progression?

With Nth Term of Progression (T_n), First Term of Progression (a) & Common Difference of Progression (d) we can find Number of Terms of Harmonic Progression using the formula - Index N of Progression = ((1/Nth Term of Progression-First Term of Progression)/Common Difference of Progression)+1.

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Number of Terms of Harmonic Progression Formula

Number of Terms of Harmonic Progression Example

Number of Terms of Harmonic Progression Solution

Number of Terms of Harmonic Progression Formula Elements

Other formulas in Harmonic Progression category

How to Evaluate Number of Terms of Harmonic Progression?

FAQs on Number of Terms of Harmonic Progression

Variable Name