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