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Question
Which one of the following cannot be the difference between the squares of any two conecutive natural numbers or in other words, two consecutive perfect squares?
Which one of the following cannot be the difference between the squares of any two conecutive natural numbers or in other words, two consecutive perfect squares?
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Solution
The correct option is D 1146
The difference between the squares of any two consecutive natural numbers is equal to the sum of the numbers and is always odd.
For example,
152−142=225−196=29
162−152=256−225=31
The difference between the squares of any two consecutive natural numbers is equal to the sum of the numbers and is always odd.
For example,
152−142=225−196=29
162−152=256−225=31
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