N is a positive intiger. Explain why 2n+1 must be an odd number.

Mathematics

1 answer:

pogonyaev3 years ago

6 0

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

You might be interested in

Which property would be useful in proving that the product of two rational numbers is ALWAYS rational? A) a b + c d = ad + bc bd

Mademuasel [1]

Answer:

Step-by-step explanation:

So we need to understand what is rational numbers?

Rational number which can be written under this form: $\frac{x}{y}$ when x any are both integers and y $\neq 0$

The question here is : Which property would be useful in proving that the product of two rational numbers. In math, when we talk about the product of at least two number, it implies to the multiplication in the operation.

Here, only answer C: $\frac{a}{b} *\frac{c}{d} = \frac{ac}{bd}$ with the condition $b\neq 0 and d \neq 0$ and a, b, c and d are integers. Product of two integers is always an integer..