Prove the following Let a and b be any integers. If n is an odd int.pdf
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The document proves that the square of an odd integer is also odd. It starts by defining an odd integer in the form of 2n + 1 and demonstrates the product of two odd integers leads to another odd integer. The solution concludes that n² can be expressed as 2 times an integer plus 1, confirming it is odd.
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Prove the following Let a and b be any integers. If n is an odd int.pdf
- 1. Prove the following: Let a and b be any integers. If n is an odd integer the n2 is an odd integer. Solution The general from of an odd nuber is 2n+1 Where n is an integer. Let 2a+1 and 2b+1 are two odd integers Where a and b belongs to z TTheir product =(2a+1)(2b+1) =2a (2b+1)+2b+1 =4ab+2a+2b+1 =2(2ab+a+b)+1 n2=2×integer+1 n2 =an odd integer