Sum of first n even natural numbers Calculator

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Math	Sequence and Series ↺
Sequence-And-Series	General Series ↺

✖value of n is the index value of position n in a series or a sequence.ⓘ value of n [n]

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✖Sum of First n terms denoted the sum of first n terms occuring in a progression like Arithematic Progression, Geometric Progression, Harmonic Progression.ⓘ Sum of first n even natural numbers [S_n]

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Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 2+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 25+ more calculators!

< 2 Other formulas that you can solve using the same Inputs

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

< 4 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 an AP when last term is given

Sum of First n terms=(total terms/2)*(First term+Last term) GO

Sum of first n even natural numbers Formula

Sum of First n terms=(value of n*(value of n+1))

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

Nth term of a HP GO

Harmonic Mean of two numbers GO

Nth term of AGP GO

Sum of first n terms of AGP GO

Sum of infinite AGP where (-1 < r < 1) GO

Sum of squares first n odd numbers GO

Sum of squares of first n even numbers GO

Arithmetic Mean of two numbers GO

Geometric Mean of two numbers GO

Sum of infinite GP except first n terms when r<1 GO

Arithmetic Mean when Harmonic Mean and Geometric Mean is given GO

Geometric Mean when Harmonic Mean and Arithmetic Mean is given GO

Harmonic Mean when Geometric Mean and Arithmetic Mean is given GO

Sum of first n terms of Harmonic Progression GO

Sum of n natural numbers taken power of 4(four) GO

What does the even natural numbers mean?

Even natural numbers simply means the natural numbers which are even(i.e natural numbers which are completely divisible by 2). Example - even natural numbers are 2,4,6,8,10,12,14,16 and so on.

How to Calculate Sum of first n even natural numbers?

Sum of first n even natural numbers calculator uses Sum of First n terms=(value of n*(value of n+1)) to calculate the Sum of First n terms, Sum of first n even natural numbers can be calculated by using the formula (n(n+1)) . Sum of first 4 even natural numbers (2,4,6,8) is 20. Sum of First n terms and is denoted by S_n symbol.

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

FAQ

What is Sum of first n even natural numbers?

Sum of first n even natural numbers can be calculated by using the formula (n(n+1)) . Sum of first 4 even natural numbers (2,4,6,8) is 20 and is represented as S_n=(n*(n+1)) or Sum of First n terms=(value of n*(value of n+1)). value of n is the index value of position n in a series or a sequence.

How to calculate Sum of first n even natural numbers?

Sum of first n even natural numbers can be calculated by using the formula (n(n+1)) . Sum of first 4 even natural numbers (2,4,6,8) is 20 is calculated using Sum of First n terms=(value of n*(value of n+1)). To calculate Sum of first n even 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 4 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^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)

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