Nth term of AP Calculator

Category	Math ↺
Math	Sequence and Series ↺
Sequence-And-Series	Arithmetic 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%
✖term number is the position of term in the series.ⓘ term number [n]			+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 AP [a_n]

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

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

Sum of first n terms where r>1

Sum of First n terms=First term*(((Common Ratio^total terms)-1)/(Common Ratio-1)) 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

Nth term of a HP

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

< 4 Other formulas that calculate the same Output

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

Nth term of AGP

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

Nth term of a HP

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

Nth term of an Arithematic Progression

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

Nth term of AP Formula

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

More formulas

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

Arithmetic Mean of two numbers GO

Arithmetic Mean when Harmonic Mean and Geometric Mean is given GO

Nth term of AP?

An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms, also known as common difference, is constant. Any term of AP can be calculated by knowing first term and common difference of the series.

How to Calculate Nth term of AP?

Nth term of AP calculator uses Nth term=First term+(term number-1)*Common difference to calculate the Nth term, Nth term of AP is the term at nth index in an AP. When first term of AP and common difference is given, one can calculate any of the term of AP by adding common difference for n-1 times to the first time. . Nth term and is denoted by a_n symbol.

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

FAQ

What is Nth term of AP?

Nth term of AP is the term at nth index in an AP. When first term of AP and common difference is given, one can calculate any of the term of AP by adding common difference for n-1 times to the first time. and is represented as a_n=a+(n-1)*d or Nth term=First term+(term number-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 term number is the position of term in the series.

How to calculate Nth term of AP?

Nth term of AP is the term at nth index in an AP. When first term of AP and common difference is given, one can calculate any of the term of AP by adding common difference for n-1 times to the first time. is calculated using Nth term=First term+(term number-1)*Common difference. To calculate Nth term of AP, you need First term (a), Common difference (d) and term number (n). With our tool, you need to enter the respective value for First term, Common difference and term number 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 term number. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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