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)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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Verified by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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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
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Sum of first n even natural numbers
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Sum of cubes of first n even numbers
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Sum of first n odd natural numbers
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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.
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