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Nth Term of Harmonic Progression Formula

GoNth Term of Harmonic Progression from End 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 = \frac{1}{a + (n - 1) \cdot d}

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

Nth Term of Harmonic Progression Example

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

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

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

0.0435 = \frac{1}{3 + (6 - 1) \cdot 4}

0.0435 = \frac{1}{3 + (6 - 1) \cdot 4}

0.0435 = \frac{1}{3 + (6 - 1) \cdot 4}

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Nth Term of Harmonic Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T n = 0.0434782608695652

LAST Step Rounding Answer

∴

T n = 0.0435

Nth Term of Harmonic 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

Other Formulas to find Nth Term of Progression

Go Nth Term of Harmonic Progression from End

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

Other formulas in Harmonic Progression category

Go Common Difference of Harmonic Progression

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

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 First Term of Harmonic Progression

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

How to Evaluate Nth Term of Harmonic Progression?

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

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

FAQs on Nth Term of Harmonic Progression

What is the formula to find Nth Term of Harmonic Progression?

The formula of Nth Term of Harmonic Progression is expressed as Nth Term of Progression = 1/(First Term of Progression+(Index N of Progression-1)*Common Difference of Progression). Here is an example- 0.043478 = 1/(3+(6-1)*4).

How to calculate Nth Term of Harmonic Progression?

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

What are the other ways to Calculate Nth Term of Progression?

Here are the different ways to Calculate Nth Term of Progression-

Nth Term of Progression=1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression)

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Nth Term of Harmonic Progression Formula

​GoNth Term of Harmonic Progression from End Formula

Nth Term of Harmonic Progression Example

Nth Term of Harmonic Progression Solution

Nth Term of Harmonic Progression Formula Elements

Other Formulas to find Nth Term of Progression

Other formulas in Harmonic Progression category

How to Evaluate Nth Term of Harmonic Progression?

FAQs on Nth Term of Harmonic Progression

Variable Name

GoNth Term of Harmonic Progression from End Formula