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Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.
sum of the integers?

Sagot :

Sidharth999
Detailed Answer:

Let ‘n’ be the middle term of three consecutive even integers. Therefore, (n) is also an even number. Hence, the even number preceding it will be (n - 2) and the even number after it will be (n + 2), since we need consecutive even integers.

Hence, we have (n - 2), (n), (n + 2).

Sum of the Integers :-
= (n - 2) + (n) + (n + 2)
= n - 2 + n + n + 2
= n + n + n + 2 - 2
= n + n + n
=> 3n
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