seynabsi seynabsi
  • 02-11-2019
  • Mathematics
contestada

Using algebraic methods, prove that the sum of 2 consecutive odd integers is always a multiple of 4.

Respuesta :

CPED
CPED CPED
  • 04-11-2019

Answer:

This statement will always be true practically.

Step-by-step explanation:

Let the odd number be:

=2x - 1

So the next odd will be:

= 2x + 1

Now for getting sum of two odd numbers we will add them:

= (2x -1)+(2x + 1)

Opening brackets:

= 2x -1 +2x +1

A dding like terms, Both 1's  will be cancelled out

= 4x

Now this proves that adding two odd numbers will deduce to a result which will always a multiple of 4

Hence proved.

I hope it will help you!

Answer Link

Otras preguntas

How to solve this math problem?
A solution containing less than the equilibrium amount is called ________. a solution containing less than the equilibrium amount is called ________. a dilute s
The width of a rectangular room is 55% of its length. The length of the room is 20 feet. What is the area of the room?
please help....................................
Which of the following is the most important political result of the election of 1800? (5 points) It proved that the nations who thought the United States would
One third of the opposite of a number is less than 12. Write and inequality.
According to Jewish teaching, how did the ancient Hebrews receive the ten commanments
Please help. Find the area of the shaded region. Side lengths of 6
What are the solutions to the equation? p2−12p=13
Factor 100x^2-20xy+y^2 enter your answer in the box