Common Difference of Harmonic Progression Calculator

✖The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.ⓘ Nth Term of Progression [T_n]			+10% -10%
✖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.ⓘ (N-1)th Term of Progression [T_n-1]			+10% -10%

✖The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.ⓘ Common Difference of Harmonic Progression [d]

⎘ Copy

👎

Formula

✖

Common Difference of Harmonic Progression

Formula

`"d" = (1/"T"_{"n"}-1/"T"_{"n-1"})`

Example

`"-0.003333"=(1/"60"-1/"50")`

Calculator

LaTeX

Reset

👍

Download AP,GP and HP Formula PDF PDF Image

Common Difference of Harmonic Progression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression)
d = (1/T_n-1/T_n-1)
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Nth Term of Progression: 60 --> No Conversion Required
(N-1)th Term of Progression: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (1/T_n-1/T_n-1) --> (1/60-1/50)

Evaluating ... ...

d = -0.00333333333333333

STEP 3: Convert Result to Output's Unit

-0.00333333333333333 --> No Conversion Required

FINAL ANSWER

-0.00333333333333333 ≈ -0.003333 <-- Common Difference of Progression

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Sequence and Series » AP,GP and HP » Harmonic Progression » Common Difference of Harmonic Progression

Credits

Created by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has created this Calculator and 25+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 6 Harmonic Progression Calculators

Sum of First N Terms of Harmonic Progression

Go Sum of First N Terms of Progression = (1/Common Difference of Progression)*ln((2*First Term of Progression+(2*Index N of Progression-1)*Common Difference of Progression)/(2*First Term of Progression-Common Difference of Progression))

Number of Terms of Harmonic Progression

Go Index N of Progression = ((1/Nth Term of Progression-First Term of Progression)/Common Difference of Progression)+1

First Term of Harmonic Progression

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

Nth Term of Harmonic Progression

Go Nth Term of Progression = 1/(First Term of Progression+(Index N of Progression-1)*Common Difference of Progression)

Nth Term of Harmonic Progression from End

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

Common Difference of Harmonic Progression

Go Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression)

< 5 Harmonic Progression Calculators

Sum of First N Terms of Harmonic Progression

First Term of Harmonic Progression

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

Nth Term of Harmonic Progression

Go Nth Term of Progression = 1/(First Term of Progression+(Index N of Progression-1)*Common Difference of Progression)

Nth Term of Harmonic Progression from End

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

Common Difference of Harmonic Progression

Go Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression)

Common Difference of Harmonic Progression Formula

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

What is Harmonic Progression ?

In Mathematics, a Harmonic Progression is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a Harmonic Progression when each term is the harmonic mean of the neighboring terms.

How to Calculate Common Difference of Harmonic Progression?

Common Difference of Harmonic Progression calculator uses Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression) to calculate 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 calculate Common Difference of Harmonic Progression using this online calculator? To use this online calculator 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. Here is how the Common Difference of Harmonic Progression calculation can be explained with given input values -> -0.019273 = (1/60-1/50).

FAQ

What is Common Difference of Harmonic 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 and is represented as d = (1/T_n-1/T_n-1) or Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th 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 & 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.

How to calculate Common Difference of Harmonic 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 is calculated using Common Difference of Progression = (1/Nth Term of Progression-1/(N-1)th Term of Progression). To calculate Common Difference of Harmonic Progression, you need Nth Term of Progression (T_n) & (N-1)th Term of Progression (T_n-1). With our tool, you need to enter the respective value for Nth Term of Progression & (N-1)th Term of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search