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First Term of Harmonic Progression Formula

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The First Term of Progression is the term at which the given Progression starts. Check FAQs

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

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

First Term of Harmonic Progression Example

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

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

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

-19.9833 = \frac{1}{60} - ((6 - 1) \cdot 4)

-19.9833 = \frac{1}{60} - ((6 - 1) \cdot 4)

-19.9833 = \frac{1}{60} - ((6 - 1) \cdot 4)

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First Term of Harmonic Progression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{1}{60} - ((6 - 1) \cdot 4)

Next Step Prepare to Evaluate

∴

a = \frac{1}{60} - ((6 - 1) \cdot 4)

Next Step Evaluate

∴

a = -19.9833333333333

LAST Step Rounding Answer

∴

a = -19.9833

First Term of Harmonic Progression Formula Elements

Variables

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

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

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 in Harmonic Progression category

Go Common Difference of Harmonic Progression

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

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 Nth Term of Harmonic Progression from End

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

How to Evaluate First Term of Harmonic Progression?

First Term of Harmonic Progression evaluator uses First Term of Progression = 1/Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression) to evaluate the First Term of Progression, The First Term of Harmonic Progression formula is defined as the reciprocal of the first term of the given Harmonic Progression, which is the first term of the corresponding Arithmetic Progression. First Term of Progression is denoted by a symbol.

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

FAQs on First Term of Harmonic Progression

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

The formula of First Term of Harmonic Progression is expressed as First Term of Progression = 1/Nth Term of Progression-((Index N of Progression-1)*Common Difference of Progression). Here is an example- -19.999273 = 1/60-((6-1)*4).

How to calculate First Term of Harmonic Progression?

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

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First Term of Harmonic Progression Formula

First Term of Harmonic Progression Example

First Term of Harmonic Progression Solution

First Term of Harmonic Progression Formula Elements

Other formulas in Harmonic Progression category

How to Evaluate First Term of Harmonic Progression?

FAQs on First Term of Harmonic Progression

Variable Name