Common Difference when first term & pth term are given Calculator

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

✖pth Term denoted the value of pth term in a series or progressionⓘ pth Term [t_p]			+10% -10%
✖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%
✖Position in series p denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression.ⓘ Position in series p [p]			+10% -10%

✖Common difference is the difference between two successive terms of an arithmetic progression. It is denoted by 'd'. ⓘ Common Difference when first term & pth term are given [d]

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Common Difference when first term & pth term are given

Mayank Tayal

National Institute of Technology (NIT), Durgapur

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

Keshav Vyas

Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat

Keshav Vyas has verified this Calculator and 6+ 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

Common Difference when pth & qth terms are given

Common difference=((qth Term-pth Term)/(Position in series q-Position in series p)) 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

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

< 2 Other formulas that calculate the same Output

Common Difference when pth & qth terms are given

Common difference=((qth Term-pth Term)/(Position in series q-Position in series p)) GO

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

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

Common Difference when first term & pth term are given Formula

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

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

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

What is an Arithematic Progression ?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. For example, the sequence 1, 2, 3, 4, ... is an arithmetic progression with common difference 1. Second example: the sequence 3, 5, 7, 9, 11,... is an arithmetic progression.

How to Calculate Common Difference when first term & pth term are given?

Common Difference when first term & pth term are given calculator uses Common difference=(pth Term-First term)/(Position in series p-1) to calculate the Common difference, The Common Difference when first term & pth term are given formula is defined as ( pth_term - first_term ) / ( position_in_series_p - 1 ) Where position_in_series_p denotes the value of 'p'. Common difference and is denoted by d symbol.

How to calculate Common Difference when first term & pth term are given using this online calculator? To use this online calculator for Common Difference when first term & pth term are given, enter First term (a), Position in series p (p) and pth Term (t_p) and hit the calculate button. Here is how the Common Difference when first term & pth term are given calculation can be explained with given input values -> NaN = (1-1)/(1-1).

FAQ

What is Common Difference when first term & pth term are given?

The Common Difference when first term & pth term are given formula is defined as ( pth_term - first_term ) / ( position_in_series_p - 1 ) Where position_in_series_p denotes the value of 'p' and is represented as d=(t_p-a)/(p-1) or Common difference=(pth Term-First term)/(Position in series p-1). First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. , Position in series p denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression and pth Term denoted the value of pth term in a series or progression.

How to calculate Common Difference when first term & pth term are given?

The Common Difference when first term & pth term are given formula is defined as ( pth_term - first_term ) / ( position_in_series_p - 1 ) Where position_in_series_p denotes the value of 'p' is calculated using Common difference=(pth Term-First term)/(Position in series p-1). To calculate Common Difference when first term & pth term are given, you need First term (a), Position in series p (p) and pth Term (t_p). With our tool, you need to enter the respective value for First term, Position in series p and pth Term 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 Common difference?

In this formula, Common difference uses First term, Position in series p and pth Term. We can use 2 other way(s) to calculate the same, which is/are as follows -

Common difference=((Last term-First term)/(total terms-1))
Common difference=((qth Term-pth Term)/(Position in series q-Position in series p))

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