Question

show that every positive integer is eiher even or odd
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Answer 1

Answer:

The basic principle is " when positive n is either odd or even then (n + 1) is also either even or odd . Means if n is odd then (n +1) should be even and if n is even then (n+1) should odd. = (2k +2) , divisible by 2 hence, (n +1) is even . doesn't divisible by 2 , so, (n +1) is odd integer .

Answer 2

Answer:

The basic principle is " when positive n is either odd or even then (n + 1) is also either even or odd . Means if n is odd then (n +1) should be even and if n is even then (n+1) should odd. = (2k +2) , divisible by 2 hence, (n +1) is even . doesn't divisible by 2 , so, (n +1) is odd integer