Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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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
Common Difference when pth & qth terms are given
Common difference=((qth Term-pth Term)/(Position in series q-Position in series p)) 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
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
nth term from end in a finite GP
Nth term=First term*(Common Ratio^(total terms-value of n)) 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
Nth term of an Arithematic Progression
Nth term=First term+(total terms-1)*Common difference GO

## < 7 Other formulas that calculate the same Output

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 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
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

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

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))
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
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

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

Calculate nth term of AP when pth & qth terms are given calculator uses 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)) to calculate the Nth term, The Calculate nth term of AP when pth & qth terms are given formula is defines the nth term of an Arithematic Progression when two other terms of same series i.e. pth term and qth term are given. Nth term and is denoted by an symbol.

How to calculate Calculate nth term of AP when pth & qth terms are given using this online calculator? To use this online calculator for Calculate nth term of AP when pth & qth terms are given, enter total terms (total), Position in series p (p), Position in series q (q), pth Term (tp) and qth Term (tq) and hit the calculate button. Here is how the Calculate nth term of AP when pth & qth terms are given calculation can be explained with given input values -> 1 = ((1*(2-1)-1*(1-1))/(2-1))+((0)-1)*((1-1)/(2-1)).

### FAQ

What is Calculate nth term of AP when pth & qth terms are given?
The Calculate nth term of AP when pth & qth terms are given formula is defines the nth term of an Arithematic Progression when two other terms of same series i.e. pth term and qth term are given and is represented as an=((tp*(q-1)-tq*(p-1))/(q-p))+(total-1)*((tq-tp)/(q-p)) or 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)). total terms is the total number of terms in a particular series, Position in series p denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression, Position in series q denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression, pth Term denoted the value of pth term in a series or progression and qth Term denoted the value of pth term in a series or progression.
How to calculate Calculate nth term of AP when pth & qth terms are given?
The Calculate nth term of AP when pth & qth terms are given formula is defines the nth term of an Arithematic Progression when two other terms of same series i.e. pth term and qth term are given is calculated using 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)). To calculate Calculate nth term of AP when pth & qth terms are given, you need total terms (total), Position in series p (p), Position in series q (q), pth Term (tp) and qth Term (tq). With our tool, you need to enter the respective value for total terms, Position in series p, Position in series q, pth Term and qth 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 Nth term?
In this formula, Nth term uses total terms, Position in series p, Position in series q, pth Term and qth Term. 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=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=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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