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

An infant is 32.625 inches (in) long. Write this as a common fraction.
isabella has found that she stays the most fit by running variouse dinstances and terrains through out the week. On mondays she runs 2.5 miles, on tuesdays 4.6
Which Property of Equality should be used first to solve the equation p/7 - 5 = -3 for p Addition Property of Equality Subtraction Property of Equality Multipli
What Is Ethane? Can you help me?
What's the formula to perimeter
Given 4 percent of (2a + b) is 18 and a is a positive integer, what is the greatest possible value of b?
What Is Ethane? Can you help me?
Ho does differentiation change an embryo as it develops
How does a Retinal Scan Work?
How do you divide with a two digit number? Like 183 850 divided by 48.