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

Jim has a box in the shape of a rectangular prism. The area of the base of the box is 48 square inches. The volume of the box is 144 cubic inches. let h= the he
Two numbers have a product of 48 and a sum of 19 what are the numbers and how do you know
The volume of a rectangular prism is 270 cubic centimeters. The height of the prism is 5 centimeters. What should the length and width of the prism be? Explain
"Pilgrim progress" what does the town vanity symbolize?
What energy is transfomed that takes place you lifting a chair?
Donald Johanson, Tom Gray, and others discovered a hominid that lived in East Africa__________ million years ago and nicknamed her Lucy, whose scientific name t
what is the percent notation for 6.4%
27 devided by 1053 in decimal form like 528.6
what are the next three numbers in this pattern 1,2,3,5,8
How do I make a formula for a line if they only give me the intercept and the slope