Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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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
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
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

10 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 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
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 squares of first n natural numbers
Sum of First n terms=(value of n*(value of n+1)*(2*value of n+1))/6 Go
Sum of cubes of first n natural numbers
Sum of First n terms=((value of n*(value of n+1))^2)/4 Go
Sum of first n natural numbers
Sum of First n terms=(value of n*(value of n+1))/2 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 odd natural numbers
Sum of First n terms=(value of n)^2 Go

Sum of first n terms in an AP when last term is given Formula

Sum of First n terms=(total terms/2)*(First term+Last term)
S<sub>n</sub>=(total/2)*(a+l)
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
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
First term 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 Sum of first n terms in an AP when last term is given?

Sum of first n terms in an AP when last term is given calculator uses Sum of First n terms=(total terms/2)*(First term+Last term) to calculate the Sum of First n terms, The Sum of first n terms in an AP when last term is given formula is defines the sum of first n terms of an Arithematic Progression when number of terms, first term and last term 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 last term is given using this online calculator? To use this online calculator for Sum of first n terms in an AP when last term is given, enter total terms (total), First term (a) and Last term (l) and hit the calculate button. Here is how the Sum of first n terms in an AP when last term is given calculation can be explained with given input values -> 0 = ((0)/2)*(1+1).

FAQ

What is Sum of first n terms in an AP when last term is given?
The Sum of first n terms in an AP when last term is given formula is defines the sum of first n terms of an Arithematic Progression when number of terms, first term and last term are given and is represented as Sn=(total/2)*(a+l) or Sum of First n terms=(total terms/2)*(First term+Last term). total terms is the total number of terms in a particular series, First term is the initial term of a series or any sequence like arithmetic progression, geometric progression etc. It is generally denoted with 'a'. and Last term is simply the term at which a particular series or sequence line arithmetic progression or geometric progression ends. It is generally denotes by 'l'.
How to calculate Sum of first n terms in an AP when last term is given?
The Sum of first n terms in an AP when last term is given formula is defines the sum of first n terms of an Arithematic Progression when number of terms, first term and last term are given is calculated using Sum of First n terms=(total terms/2)*(First term+Last term). To calculate Sum of first n terms in an AP when last term is given, you need total terms (total), First term (a) and Last term (l). With our tool, you need to enter the respective value for total terms, First term and Last 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 Sum of First n terms?
In this formula, Sum of First n terms uses total terms, First term and Last term. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Sum of First n terms=(total terms/2)*(2*First term+(total terms-1)*Common difference)
  • 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=(value of n*(value of n+1))/2
  • Sum of First n terms=(value of n*(value of n+1)*(2*value of n+1))/6
  • Sum of First n terms=((value of n*(value of n+1))^2)/4
  • 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))
  • Sum of First n terms=(value of n)^2
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