Find the squares of all even number from1 to 12
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Find the squares of all even number from1 to 12
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Step-by-step explanation:
First 11 consecutive Even numbers are
2,4,6,−−−−−22
Average of their squares =
11
2
3
+4
2
+6
2
+−−−−+22
2
=
11
2
2
(1
2
+2
2
+3
2
+−−−+11
2
)
=
11
4
6
(11)(12)(23)
=184
(using formula 1
2
+2
2
+3
2
+−−−+n
2
=
6
n(n+1)(2n+1)
)
Answer:
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.