Sum of squares of first n even numbers Calculator

Home	Math ↺
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]

+10%

-10%

✖Sum of squares of first n even numbers is the sum of even numbers from 1 to infinity and can be found easily, using Arithmetic Progression. The even numbers are the numbers that are divisible by 2.ⓘ Sum of squares of first n even numbers [Sne]

⎘ Copy

👎

Formula

Reset

👍

Sum of squares of first n even numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of squares of first n even numbers = (2*Value of n*(Value of n+1)*(2*Value of n+1))/3
Sne = (2*n*(n+1)*(2*n+1))/3
This formula uses 2 Variables

Variables Used

Sum of squares of first n even numbers - Sum of squares of first n even numbers is the sum of even numbers from 1 to infinity and can be found easily, using Arithmetic Progression. The even numbers are the numbers that are divisible by 2.
Value of n - Value of n is the index value of position n in a series or a sequence.

STEP 1: Convert Input(s) to Base Unit

Value of n: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Sne = (2*n*(n+1)*(2*n+1))/3 --> (2*5*(5+1)*(2*5+1))/3

Evaluating ... ...

Sne = 220

STEP 3: Convert Result to Output's Unit

220 --> No Conversion Required

FINAL ANSWER

220 <-- Sum of squares of first n even numbers

(Calculation completed in 00.000 seconds)

You are here -

Home » Math » Sequence and Series » General Series » Sum of squares of first n even numbers

Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< 9 General Series Calculators

Sum of n natural numbers taken power of four

Sum of n natural numbers taken power of 4(four) = (Total terms*(Total terms+1)*((6*Total terms^3)+(9*Total terms^2)+Total terms-1))/30 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 of first n odd numbers = (Value of n*(2*Value of n+1)*(2*Value of n-1))/3 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 of first n even natural numbers

Sum of First n terms = (Value of n*(Value of n+1)) Go

Sum of cubes of first n even numbers

Sum required = 2*(Value of n*(Value of n+1))^2 Go

Sum of first n odd natural numbers

Sum of First n terms = (Value of n)^2 Go

Sum of squares of first n even numbers Formula

Sum of squares of first n even numbers = (2*Value of n*(Value of n+1)*(2*Value of n+1))/3
Sne = (2*n*(n+1)*(2*n+1))/3

What is a even number?

The even numbers are the numbers which are divisible by 2. for example 2,4,6,8,10,12,14,16,18,20,22,24....etc

How to Calculate Sum of squares of first n even numbers?

Sum of squares of first n even numbers calculator uses Sum of squares of first n even numbers = (2*Value of n*(Value of n+1)*(2*Value of n+1))/3 to calculate the Sum of squares of first n even numbers, The Sum of squares of first n even numbers formula is defined as The sum of even numbers from 1 to infinity can be found easily, using Arithmetic Progression. As we know, the even numbers are the numbers which are divisible by 2. Sum of squares of first n even numbers is denoted by Sne symbol.

How to calculate Sum of squares of first n even numbers using this online calculator? To use this online calculator for Sum of squares of first n even numbers, enter Value of n (n) and hit the calculate button. Here is how the Sum of squares of first n even numbers calculation can be explained with given input values -> 220 = (2*5*(5+1)*(2*5+1))/3.

FAQ

What is Sum of squares of first n even numbers?

The Sum of squares of first n even numbers formula is defined as The sum of even numbers from 1 to infinity can be found easily, using Arithmetic Progression. As we know, the even numbers are the numbers which are divisible by 2 and is represented as Sne = (2*n*(n+1)*(2*n+1))/3 or Sum of squares of first n even numbers = (2*Value of n*(Value of n+1)*(2*Value of n+1))/3. Value of n is the index value of position n in a series or a sequence.

How to calculate Sum of squares of first n even numbers?

The Sum of squares of first n even numbers formula is defined as The sum of even numbers from 1 to infinity can be found easily, using Arithmetic Progression. As we know, the even numbers are the numbers which are divisible by 2 is calculated using Sum of squares of first n even numbers = (2*Value of n*(Value of n+1)*(2*Value of n+1))/3. To calculate Sum of squares of first n even 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.

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!