Nth Term of Harmonic Progression from End Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nth Term of Progression = 1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression)
Tn = 1/(l-(n-1)*d)
This formula uses 4 Variables
Variables Used
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.
Last Term of Progression - The Last Term of Progression is the term at which the given Progression terminates.
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.
Common Difference of Progression - The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.
STEP 1: Convert Input(s) to Base Unit
Last Term of Progression: 100 --> No Conversion Required
Index N of Progression: 6 --> No Conversion Required
Common Difference of Progression: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tn = 1/(l-(n-1)*d) --> 1/(100-(6-1)*4)
Evaluating ... ...
Tn = 0.0125
STEP 3: Convert Result to Output's Unit
0.0125 --> No Conversion Required
FINAL ANSWER
0.0125 <-- Nth Term of Progression
(Calculation completed in 00.004 seconds)

Credits

Created by Surjojoti Som
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
Surjojoti Som has created this Calculator and 50+ 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
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))
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)

Nth Term of Harmonic Progression from End Formula

Nth Term of Progression = 1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression)
Tn = 1/(l-(n-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 from End?

Nth Term of Harmonic Progression from End calculator uses Nth Term of Progression = 1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression) to calculate the Nth Term of Progression, The Nth Term of Harmonic Progression from End formula is defined as the term corresponding to the index or position n from the end of the given Harmonic Progression. Nth Term of Progression is denoted by Tn symbol.

How to calculate Nth Term of Harmonic Progression from End using this online calculator? To use this online calculator for Nth Term of Harmonic Progression from End, enter Last Term of Progression (l), Index N of Progression (n) & Common Difference of Progression (d) and hit the calculate button. Here is how the Nth Term of Harmonic Progression from End calculation can be explained with given input values -> 0.0125 = 1/(100-(6-1)*4).

FAQ

What is Nth Term of Harmonic Progression from End?
The Nth Term of Harmonic Progression from End formula is defined as the term corresponding to the index or position n from the end of the given Harmonic Progression and is represented as Tn = 1/(l-(n-1)*d) or Nth Term of Progression = 1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression). The Last Term of Progression is the term at which the given Progression terminates, The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression & The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.
How to calculate Nth Term of Harmonic Progression from End?
The Nth Term of Harmonic Progression from End formula is defined as the term corresponding to the index or position n from the end of the given Harmonic Progression is calculated using Nth Term of Progression = 1/(Last Term of Progression-(Index N of Progression-1)*Common Difference of Progression). To calculate Nth Term of Harmonic Progression from End, you need Last Term of Progression (l), Index N of Progression (n) & Common Difference of Progression (d). With our tool, you need to enter the respective value for Last Term of Progression, Index N of Progression & Common Difference of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Nth Term of Progression?
In this formula, Nth Term of Progression uses Last Term of Progression, Index N of Progression & Common Difference of Progression. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Nth Term of Progression = 1/(First Term of Progression+(Index N of Progression-1)*Common Difference of Progression)
  • Nth Term of Progression = 1/(First Term of Progression+(Index N of Progression-1)*Common Difference of Progression)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!