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Show that the difference between any two consecutive square number is an odd number​

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Explanation:

this applies to any two consecutive square numbers

1 and 4

144 and 169

since a square number is formed by multiply a number by itself and the normal sequence of numbers is odd even odd even...

no odd number will be followed by its kind and same to even numbers

square of 2 - square of 1

4 - 1 = 3

square of 13 - square of 12

169 - 144 = 25

User Steve Brewer
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