Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
Rushi Shah has created this Calculator and 50+ more calculators!
Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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4 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
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
Common Difference when first term & pth term are given
Common difference=(pth Term-First term)/(Position in series p-1) GO

First term when pth & qth terms are given Formula

First term=(pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p)
a=(t<sub>p</sub>*(q-1)-t<sub>q</sub>*(p-1))/(q-p)
More formulas
Nth term of AP 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 last n terms in a finite AP with last term given GO
Sum of last n terms in a finite AP with first term, total terms given GO
Sum of all terms from position p to position q in an AP GO
Arithmetic Mean of two numbers GO
Arithmetic Mean when Harmonic Mean and Geometric Mean is 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 First term when pth & qth terms are given?

First term when pth & qth terms are given calculator uses First term=(pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p) to calculate the First term, The First term when pth & qth terms are given formula is defined as ( pth_term * ( position_in_series_q - 1 ) - qth_term * ( position_in_series_p - 1 ) ) / ( position_in_series_q - position_in_series_p ) Obtained by solving the equations for pth & qth term in the series respectively. First term and is denoted by a symbol.

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

FAQ

What is First term when pth & qth terms are given?
The First term when pth & qth terms are given formula is defined as ( pth_term * ( position_in_series_q - 1 ) - qth_term * ( position_in_series_p - 1 ) ) / ( position_in_series_q - position_in_series_p ) Obtained by solving the equations for pth & qth term in the series respectively and is represented as a=(tp*(q-1)-tq*(p-1))/(q-p) or First term=(pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p). pth Term denoted the value of pth term in a series or progression, Position in series q denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression, qth Term denoted the value of pth term in a series or progression and Position in series p denoted the particular position is a series or progression like Arithematic, Geometric or Harmonic Progression.
How to calculate First term when pth & qth terms are given?
The First term when pth & qth terms are given formula is defined as ( pth_term * ( position_in_series_q - 1 ) - qth_term * ( position_in_series_p - 1 ) ) / ( position_in_series_q - position_in_series_p ) Obtained by solving the equations for pth & qth term in the series respectively is calculated using First term=(pth Term*(Position in series q-1)-qth Term*(Position in series p-1))/(Position in series q-Position in series p). To calculate First term when pth & qth terms are given, you need pth Term (tp), Position in series q (q), qth Term (tq) and Position in series p (p). With our tool, you need to enter the respective value for pth Term, Position in series q, qth Term and Position in series p and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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