CAN SOMEONE EXPLAIN THIS
“ 2 consecutive odd multiples of 2= x,x+4...”
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this means that 2 continuous odd multiples of 2 is x and x+4
hope its help u
hope its help u
vaishhhhhhhh:
That’s what explain!
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The first of the two consecutive integers must be a multiple of 2.
We can therefore write it as 2n, where n is a whole number.
Explanation and Proof
An even number is divisible by 2, so it can be represented by 2n, where n is an integer. If we add 1 to an even number, then it will be odd. Therefore, an odd number can be represented as 2n + 1.
Being consecutive, the other even integer must be 2n + 2.
Multiplying the two numbers gives a product equal to
2n × (2n + 2) = 2n×2(n + 1) = 4n(n + 1)
which is 4 times n(n + 1)
This proves that the product of two consecutive even integers must be a multiple of 4.
Hope it's helpful for you
We can therefore write it as 2n, where n is a whole number.
Explanation and Proof
An even number is divisible by 2, so it can be represented by 2n, where n is an integer. If we add 1 to an even number, then it will be odd. Therefore, an odd number can be represented as 2n + 1.
Being consecutive, the other even integer must be 2n + 2.
Multiplying the two numbers gives a product equal to
2n × (2n + 2) = 2n×2(n + 1) = 4n(n + 1)
which is 4 times n(n + 1)
This proves that the product of two consecutive even integers must be a multiple of 4.
Hope it's helpful for you
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