FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Common Difference of Harmonic Progression Formula

Fx Copy

LaTeX Copy

The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant. Check FAQs

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

d - Common Difference of Progression?T_n - Nth Term of Progression?T_n-1 - (N-1)th Term of Progression?

Common Difference of Harmonic Progression Example

With values

With units

Only example

Here is how the Common Difference of Harmonic Progression equation looks like with Values.

Here is how the Common Difference of Harmonic Progression equation looks like with Units.

Here is how the Common Difference of Harmonic Progression equation looks like.

-0.0033 = (\frac{1}{60} - \frac{1}{50})

-0.0033 = (\frac{1}{60} - \frac{1}{50})

-0.0033 = (\frac{1}{60} - \frac{1}{50})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Sequence and Series » Category

AP,GP and HP » fx Common Difference of Harmonic Progression

Common Difference of Harmonic Progression Solution

Follow our step by step solution on how to calculate Common Difference of Harmonic Progression?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = (\frac{1}{60} - \frac{1}{50})

Next Step Prepare to Evaluate

∴

d = (\frac{1}{60} - \frac{1}{50})

Next Step Evaluate

∴

d = -0.00333333333333333

LAST Step Rounding Answer

∴

d = -0.0033

Common Difference of Harmonic Progression Formula Elements

Variables

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

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

(N-1)th Term of Progression

The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.

Symbol: T_n-1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find (N-1)th Term 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 First Term of Harmonic Progression

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

Go Nth Term of Harmonic Progression from End

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

How to Evaluate Common Difference of Harmonic Progression?

Common Difference of Harmonic Progression evaluator uses Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression) to evaluate the Common Difference of Progression, The Common Difference of Harmonic Progression formula is defined as the difference of reciprocal of an arbitrary term from the reciprocal of its proceeding term of the Harmonic Progression, which is the common difference of the corresponding Arithmetic Progression. Common Difference of Progression is denoted by d symbol.

How to evaluate Common Difference of Harmonic Progression using this online evaluator? To use this online evaluator for Common Difference of Harmonic Progression, enter Nth Term of Progression (T_n) & (N-1)th Term of Progression (T_n-1) and hit the calculate button.

FAQs on Common Difference of Harmonic Progression

What is the formula to find Common Difference of Harmonic Progression?

The formula of Common Difference of Harmonic Progression is expressed as Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression). Here is an example- -0.019273 = (1/60-1/50).

How to calculate Common Difference of Harmonic Progression?

With Nth Term of Progression (T_n) & (N-1)th Term of Progression (T_n-1) we can find Common Difference of Harmonic Progression using the formula - Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Common Difference of Harmonic Progression Formula

Common Difference of Harmonic Progression Example

Common Difference of Harmonic Progression Solution

Common Difference of Harmonic Progression Formula Elements

Other formulas in Harmonic Progression category

How to Evaluate Common Difference of Harmonic Progression?

FAQs on Common Difference of Harmonic Progression

Variable Name