text: Mayank Tayal
  National Institute of Technology (NIT), Durgapur
  Mayank Tayal has created this Calculator and 0+ more calculators!
  Anamika Mittal
  Vellore Institute of Technology (VIT), Bhopal
  Anamika Mittal has verified this Calculator and 25+ 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
  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
  Nth term of GP
  Nth term=First term*(Common Ratio^(value of n-1)) GO
  
  ## < 6 Other formulas that calculate the same Output
  
  Sum of first n terms of AGP
  Sum of First n terms=((First term-(First term+(total terms-1)*Common difference)*(Common Ratio^total terms))/(1-Common Ratio))+(Common difference*Common Ratio*(1-Common Ratio^(total terms-1))/(1-Common Ratio)^2) 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
  Sum of first n terms in a finite GP
  Sum of First n terms=(First term*((Common Ratio^value of n)-1))/(Common Ratio-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
  Sum infinite GP when r is less than one
  Sum of First n terms=First term/(1-Common Ratio) GO
  Sum of first n even natural numbers
  Sum of First n terms=(value of n*(value of n+1)) GO
  
  ### Sum of first n terms in an AP when common difference is given Formula
  
  Sum of First n terms=(total terms/2)*(2*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 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
  
  ## What is 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 Sum of first n terms in an AP when common difference is given?
  
  Sum of first n terms in an AP when common difference is given calculator uses Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference) to calculate the Sum of First n terms, The Sum of first n terms in an AP when common difference is given formula is defines the sum of first n terms of an Arithematic Progression when common difference, first term and number of terms are given. Sum of First n terms and is denoted by Sn symbol.
  
  How to calculate Sum of first n terms in an AP when common difference is given using this online calculator? To use this online calculator for Sum of first n terms in an AP when common difference is given, enter First term (a), Common difference (d) and total terms (total) and hit the calculate button. Here is how the Sum of first n terms in an AP when common difference is given calculation can be explained with given input values -> 0 = ((0)/2)*(2*1+((0)-1)*1).
  
  ### FAQ
  
  What is Sum of first n terms in an AP when common difference is given?
  The Sum of first n terms in an AP when common difference is given formula is defines the sum of first n terms of an Arithematic Progression when common difference, first term and number of terms are given and is represented as Sn=(total/2)*(2*a+(total-1)*d) or Sum of First n terms=(total terms/2)*(2*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 Sum of first n terms in an AP when common difference is given?
  The Sum of first n terms in an AP when common difference is given formula is defines the sum of first n terms of an Arithematic Progression when common difference, first term and number of terms are given is calculated using Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference). To calculate Sum of first n terms in an AP when common difference is given, 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 Sum of First n terms?
  In this formula, Sum of First n terms uses First term, Common difference and total terms. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Sum of First n terms=(total terms/2)*(First term+Last term)
  • Sum of First n terms=(First term*((Common Ratio^value of n)-1))/(Common Ratio-1)
  • Sum of First n terms=First term/(1-Common Ratio)
  • Sum of First n terms=First term*(((Common Ratio^total terms)-1)/(Common Ratio-1))
  • Sum of First n terms=((First term-(First term+(total terms-1)*Common difference)*(Common Ratio^total terms))/(1-Common Ratio))+(Common difference*Common Ratio*(1-Common Ratio^(total terms-1))/(1-Common Ratio)^2)
  • Sum of First n terms=(value of n*(value of n+1))
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