Nth term of a HP Calculator

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Math	Algebra ↺
Algebra	Series & Progression ↺
Series-And-Progression	Harmonic Progression ↺

✖First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. ⓘ First term [a]			+10% -10%
✖total terms is the total number of terms in a particular series.ⓘ total terms [total]			+10% -10%
✖Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. ⓘ Common difference [d]			+10% -10%

✖Nth term is particular term at index/position n (by default from beginning).ⓘ Nth term of a HP [a_n]

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Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 0+ more calculators!

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 50+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Calculate nth term of AP when pth & qth terms are given

Nth term=((pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p))+(total terms-1)*((qth Term-pth Term)/(Position in series q-Position in series p)) GO

Sum of first n terms in an AP when common difference is given

Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference) GO

Position of pth term when pth term, first term & common difference is given

Position in series p=((pth Term-First term)/Common difference)+1 GO

Common Difference when first term & pth term are given

Common difference=(pth Term-First term)/(Position in series p-1) GO

Number of terms when Sum of first n terms, first term & last term are given

total terms=((2*Sum of First n terms)/(First term+Last term)) GO

Sum of first n terms in an AP when last term is given

Sum of First n terms=(total terms/2)*(First term+Last term) GO

Common Difference when first term, last term & number of terms are given

Common difference=((Last term-First term)/(total terms-1)) GO

Last term when number of terms, first term & common difference are given

Last term=((total terms-1)*Common difference)+First term GO

Number of terms of in an Arithematic Progression

total terms=((Last term-First term)/Common difference)+1 GO

Nth term of an Arithematic Progression

Nth term=First term+(total terms-1)*Common difference GO

Nth term of AP

Nth term=First term+(term number-1)*Common difference GO

< 7 Other formulas that calculate the same Output

Calculate nth term of AP when pth & qth terms are given

Nth term of AGP

Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1)) GO

nth term from end in a finite GP

Nth term=First term*(Common Ratio^(total terms-value of n)) GO

Nth term of an Arithematic Progression

Nth term=First term+(total terms-1)*Common difference GO

Nth term of AP

Nth term=First term+(term number-1)*Common difference GO

Nth term of GP

Nth term=First term*(Common Ratio^(value of n-1)) GO

nth term from the end of finite GP when last term and common ratio is given

Nth term=Last term/(Common Ratio^(value of n-1)) GO

Nth term of a HP Formula

Nth term=1/(First term+(total terms-1)*Common difference)

More formulas

Nth term of an Arithematic Progression GO

Number of terms of in an Arithematic Progression GO

Sum of first n terms in an AP when common difference is given GO

Sum of first n terms in an AP when last term is given GO

Calculate nth term of AP when pth & qth terms are given GO

Common Difference when first term & pth term are given GO

Position of pth term when pth term, first term & common difference is given GO

Last term when number of terms, first term & common difference are given GO

Common Difference when first term, last term & number of terms are given GO

Number of terms when Sum of first n terms, first term & last term are given GO

Common Difference when pth & qth terms are given GO

Sum of first n terms where r>1 GO

Harmonic Mean of two numbers GO

Nth term of AGP GO

Sum of first n terms of AGP GO

Sum of infinite AGP where (-1 < r < 1) GO

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 a HP?

Nth term of a HP calculator uses Nth term=1/(First term+(total terms-1)*Common difference) to calculate the Nth term, The Nth term of a HP formula is defined as 1 / ( first_term + ( total_terms - 1 ) * common_difference ). Nth term and is denoted by a_n symbol.

How to calculate Nth term of a HP using this online calculator? To use this online calculator for Nth term of a HP, enter First term (a), Common difference (d) and total terms (total) and hit the calculate button. Here is how the Nth term of a HP calculation can be explained with given input values -> NaN = 1/(1+((0)-1)*1).

FAQ

What is Nth term of a HP?

The Nth term of a HP formula is defined as 1 / ( first_term + ( total_terms - 1 ) * common_difference ) and is represented as a_n=1/(a+(total-1)*d) or Nth term=1/(First term+(total terms-1)*Common difference). First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. , Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. and total terms is the total number of terms in a particular series.

How to calculate Nth term of a HP?

The Nth term of a HP formula is defined as 1 / ( first_term + ( total_terms - 1 ) * common_difference ) is calculated using Nth term=1/(First term+(total terms-1)*Common difference). To calculate Nth term of a HP, you need First term (a), Common difference (d) and total terms (total). With our tool, you need to enter the respective value for First term, Common difference and total terms 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?

In this formula, Nth term uses First term, Common difference and total terms. We can use 7 other way(s) to calculate the same, which is/are as follows -

Nth term=First term+(term number-1)*Common difference
Nth term=First term+(total terms-1)*Common difference
Nth term=((pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p))+(total terms-1)*((qth Term-pth Term)/(Position in series q-Position in series p))
Nth term=First term*(Common Ratio^(value of n-1))
Nth term=First term*(Common Ratio^(total terms-value of n))
Nth term=Last term/(Common Ratio^(value of n-1))
Nth term=(First term+((total terms-1)*Common difference))*(Common Ratio^(total terms-1))

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