Answer:
Because the number would be multiplied by an even number, which is 2. If the number (odd or even) is multiplied by two, then the result would be an even number.
Proof:
2(1) = 2
2(6) = 12
2(7) = 14
2(3) = 6
The number would then be added by an odd number, which is 1. If an even number is added with an odd number, then the result would be an odd number.
Proof:
2 + 1 = 3
12 + 1 = 13
14 + 1 = 15
6 + 1 = 7
2n + 1 will be an odd number.
If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Given
2n+1 is a number where n is a positive integer.
The 2n + 1 is an odd number.
We know that if the integer is multiplied by 2 then it becomes the even number.
So the 2n is an even number.
We know that the sum of an even number and an odd number is an odd number. That is
Even + odd = odd
so 2n + 1 will be an odd number.
More about the odd and the even link is given below.
https://brainly.com/question/924646
