Product of Two Consecutive Even or Odd Natural Numbers
n-1n+1=n2-1 p...
Question
(n−1)(n+1)=n2−1 pattern is useful for which of the following?
A
Only for even numbers
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B
Only for odd numbers
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C
Both even and odd numbers
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D
Neither even nor odd numbers
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Solution
The correct option is C Both even and odd numbers If (n−1),n,(n+1) are three consecutive natural numbers, then they follow the relation (n−1)(n+1)=n2−1. It does not matter either they are even or odd.