aqsafiaz08
aqsafiaz08 aqsafiaz08
  • 03-12-2019
  • Mathematics
contestada

n is a positive integer.Explain why n(n-1) must be an even number.
Please can someone explain this algebraically.

Respuesta :

KerryEye KerryEye
  • 09-12-2019

Answer:

n and (n - 1) are consecutive integers.

Step-by-step explanation:

We are given 'n', a positive integer.

This 'n' can either be odd or even.

Case I:

When 'n' is odd

The n - 1 is even.

Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.

Case II:

when 'n' is even

Then n - 1 is odd.

Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.

Answer Link

Otras preguntas

Read the following excerpt and answer the questions that follow. Excerpt from George Bernard Shaw's play Pygmalion CLARA [all smiles] I will. Good-bye. Such non
I need help on this question.
Please help with this.
Find the average rate of change over the interval (-1, 2] (x=-1 and x=2).
A person who can afford a monthly payment of and signs a loan agreement with a monthly payment of is most likely a victim of predatory lending. O A. $900; $800
What were the two main alliances during WW1. Number 4 on the picture
PLEASE HELP!!!!!!!!! here's the link: https://crosswordlabs.com/view/respiration-294 if it turns green it mean its correct
HELP QUICK!! solve by substitution and show work please
I need help with 7 help please I will give brainliest
Two particles, an electron and a proton, are initially at rest in a uniform electric field of magnitude 570 N/C. If the particles are free to move, what are the