24pateldheer 24pateldheer

02-06-2019
Mathematics

contestada

Prove that for all whole values of n the value of the expression:
n(n–1)–(n+3)(n+2) is divisible by 6.

Prove that for all whole values of n the value of the expression nn1n3n2 is divisible by 6 class=

Respuesta :

LammettHash LammettHash

03-06-2019

Expand:

[tex]n(n-1)-(n+3)(n+2)=(n^2-n)-(n^2+5n+6)=-6n-6[/tex]

Then we can write

[tex]n(n-1)-(n+3)(n+2)=6\boxed{(-n-1)}[/tex]

which means [tex]6\mid n(n-1)-(n+3)(n+2)[/tex] as required.

Answer Link

Otras preguntas

7. Find the volume of the cylinder. Round to the nearest tenth. 6 ft 7 ft

The amount of fat, lean muscle, bone, water you have is called your a. muscle composition b. physical fitness c. body composition d. cardio respiratory factor

Why do astronauts' weights differ in space? There is a less gravitational force in space. Their mass changes in space. Space is colder than Earth. There is less

A licensed driver who is 17 years of age may not operate a motor vehicle between ___, unless accompanied by a driver who is 21 years of age or older. A. 12:00 a

A change in or addition to the constitution is called a

What is the value of C in the equation 4c-6=22

Find f(-2) for f(x) = 2(4)”. O A. 100 B. -16 1 O c. 16 O D. -32

Which is NOT a multiple of 15?

A customer seeks to buy A new computer for private use at home. The customer primarily needs the computer to use the microsoft powerpoint application for the pu

1,-4,-9,-14,-19 what’s the 5th term