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How do you find the sum of the squares of consecutive even numbers?
Wiki User
∙ 11y ago
What I would do is square each of the consecutive
even numbers, and then add their squares.
It depends on how complex you want the answer to be. If you need a formula to do it, then use the following.
If it's always starting at two, then use the formula:
Sum of even numbers' squares from 0 to w.
x=w/2
f(x) = (4*x^3+6*x^2+2*x)/3
If you put in 1, then you get the first even number squared. If you put in two, then you get the sum of the squares of the first two even numbers. Three will give you the sum of the squares of the first three even numbers.
If you need to vary where it starts (e.g. adding the squares of the even numbers from 8 to 26) the use that formula with the larger number (13, because 26 is the thirteenth even number) and then subtract the formula at the lower number minus one (3, since 8 is the fourth even number, and 4-1=3). F(13)=3276; F(3)=56; 3276-56=3220. So, the sum of the squares of the even numbers from 8 to 26 is 3220.
Sum of even numbers' squares from w to z.
x=(w/2)-1
y=z/2
f(y)-f(x)
Wiki User
∙ 11y ago
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The sum of the squares of two consecutive positive even integers is 340. Find the integers.
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What is The sum of the squares of two consecutive positive even integers is 340 Find the integers?
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
The product of 2 consecutive even numbers is 840. Find the numbers?
The product of two consecutive even integers is 840.find these numbers
What is the answer to this---Find two consecutive integers the sum of whose squares is 130?
If you have two consecutive integers then one of them must be odd and the other must be even. The square of an odd integer must be odd, the square of an even integer must be even. The sum of an odd number and an even number must be odd. Thus, the sum of squares of any two consecutive numbers must be odd. Therefore, the question has no valid answer.
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How can I Find two consecutive whole numbers that 141 lies between.?
If you mean two consecutive even whole numbers then they are 140 and 142
The sum of two consecutive even integers is -134. Find the numbers?
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