## Nth Term of Harmonic Progression Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP)
Tn = 1/(a+(nTotal-1)*d)
This formula uses 4 Variables
Variables Used
Nth Term of HP - The Nth Term of HP is the term corresponding to the index or position of the number n from the beginning in the given Harmonic Progression.
First term of HP - The First Term of HP is the value corresponding to the first term in the Harmonic Progression.
Total Terms of HP - The Total Terms of HP is the total number of terms present in the given sequence of Harmonic Progression.
Common Difference of HP - The Common Difference of HP is the difference of reciprocal of an arbitrary term from the reciprocal of its proceeding term of the Harmonic Progression.
STEP 1: Convert Input(s) to Base Unit
First term of HP: 3 --> No Conversion Required
Total Terms of HP: 12 --> No Conversion Required
Common Difference of HP: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tn = 1/(a+(nTotal-1)*d) --> 1/(3+(12-1)*2)
Evaluating ... ...
Tn = 0.04
STEP 3: Convert Result to Output's Unit
0.04 --> No Conversion Required
0.04 <-- Nth Term of HP
(Calculation completed in 00.000 seconds)
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## Credits

Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
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## < 2 Harmonic Progression Calculators

Sum of First N Terms of Harmonic Progression
Sum of First N Terms of HP = (1/Common Difference of HP)*ln((2*First term of HP+(2*Total Terms of HP-1)*Common Difference of HP)/(2*First term of HP-Common Difference of HP))
Nth Term of Harmonic Progression
Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP)

## Nth Term of Harmonic Progression Formula

Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP)
Tn = 1/(a+(nTotal-1)*d)

## 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 Nth Term of Harmonic Progression?

Nth Term of Harmonic Progression calculator uses Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP) to calculate the Nth Term of HP, The Nth Term of Harmonic Progression formula is defined as the term corresponding to the index or position of the number n from the beginning in the given Harmonic Progression. Nth Term of HP is denoted by Tn symbol.

How to calculate Nth Term of Harmonic Progression using this online calculator? To use this online calculator for Nth Term of Harmonic Progression, enter First term of HP (a), Total Terms of HP (nTotal) & Common Difference of HP (d) and hit the calculate button. Here is how the Nth Term of Harmonic Progression calculation can be explained with given input values -> 0.04 = 1/(3+(12-1)*2).

### FAQ

What is Nth Term of Harmonic Progression?
The Nth Term of Harmonic Progression formula is defined as the term corresponding to the index or position of the number n from the beginning in the given Harmonic Progression and is represented as Tn = 1/(a+(nTotal-1)*d) or Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP). The First Term of HP is the value corresponding to the first term in the Harmonic Progression, The Total Terms of HP is the total number of terms present in the given sequence of Harmonic Progression & The Common Difference of HP is the difference of reciprocal of an arbitrary term from the reciprocal of its proceeding term of the Harmonic Progression.
How to calculate Nth Term of Harmonic Progression?
The Nth Term of Harmonic Progression formula is defined as the term corresponding to the index or position of the number n from the beginning in the given Harmonic Progression is calculated using Nth Term of HP = 1/(First term of HP+(Total Terms of HP-1)*Common Difference of HP). To calculate Nth Term of Harmonic Progression, you need First term of HP (a), Total Terms of HP (nTotal) & Common Difference of HP (d). With our tool, you need to enter the respective value for First term of HP, Total Terms of HP & Common Difference of HP and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know