Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 100+ more calculators!
Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 200+ more calculators!

11 Other formulas that you can solve using the same Inputs

Sum of last n terms in a finite AP with first term, total terms given
Sum of last n terms=(value of n*(2*First term+Common difference*(2*total terms-value of n-1)))/2 GO
Sum of squares of first n even numbers
Sum of squares of first n even numbers=(2*value of n*(value of n+1)*(2*value of n+1))/3 GO
Sum of Squares first n odd numbers
Sum of squares first n odd numbers=(value of n*(2*value of n+1)*(2*value of n-1))/3 GO
Sum of last n terms in a finite AP with last term given
Sum of last n terms=((value of n*(2*Last term+Common difference*(1-value of n)))/2) 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
nth term from end in a finite GP
Nth term=First term*(Common Ratio^(total terms-value of n)) GO
Sum of cubes of first n natural numbers
Sum of First n terms=((value of n*(value of n+1))^2)/4 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
Sum of first n even natural numbers
Sum of First n terms=(value of n*(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 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 of cubes of first n natural numbers
Sum of First n terms=((value of n*(value of n+1))^2)/4 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 natural numbers Formula

Sum of First n terms=(value of n*(value of n+1))/2
S<sub>n</sub>=(n*(n+1))/2
More formulas
Sum of squares of first n natural numbers GO
Sum of cubes of first n natural numbers GO
Sum of Squares first n odd numbers GO
Sum of squares of first n even numbers GO
Sum of first n even natural numbers GO
Sum of first n odd natural numbers GO
Sum of cubes of first n even numbers GO
Sum of n natural numbers taken power of 4(four) GO

What are natural numbers?

Natural numbers are the numbers which are used for counting purpose. It includes all positive integers i.e 1,2,3,4,....... till infinity.

How to Calculate Sum of first n natural numbers?

Sum of first n natural numbers calculator uses Sum of First n terms=(value of n*(value of n+1))/2 to calculate the Sum of First n terms, Sum of first n natural numbers is total sum of starting n natural numbers. For e.g- sum of first 10 natural numbers (1,2,3,4,5,6,7,8,9,10) is 55. Sum of First n terms and is denoted by Sn symbol.

How to calculate Sum of first n natural numbers using this online calculator? To use this online calculator for Sum of first n natural numbers, enter value of n (n) and hit the calculate button. Here is how the Sum of first n natural numbers calculation can be explained with given input values -> 1 = (1*(1+1))/2.

FAQ

What is Sum of first n natural numbers?
Sum of first n natural numbers is total sum of starting n natural numbers. For e.g- sum of first 10 natural numbers (1,2,3,4,5,6,7,8,9,10) is 55 and is represented as Sn=(n*(n+1))/2 or Sum of First n terms=(value of n*(value of n+1))/2. value of n is the index value of position n in a series or a sequence.
How to calculate Sum of first n natural numbers?
Sum of first n natural numbers is total sum of starting n natural numbers. For e.g- sum of first 10 natural numbers (1,2,3,4,5,6,7,8,9,10) is 55 is calculated using Sum of First n terms=(value of n*(value of n+1))/2. To calculate Sum of first n natural numbers, you need value of n (n). With our tool, you need to enter the respective value for value of n 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 value of n. 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=(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=(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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