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pshichka [43]
3 years ago
6

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

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

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!

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