Mathematics
Prove that the sum of two consecutive odd numbers is divisible by 4.
Mathematics Proofs
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Answer
Let two consecutive odd numbers be (2n + 1) and (2n + 3) for some integer n.
Sum = (2n + 1) + (2n + 3)
= 4n + 4
= 4(n + 1).
On dividing the sum by 4, we get :
= n + 1.
Hence, proved that sum of two consecutive odd numbers is divisible by 4.
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