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The next even integer that is larger than 2n, if 2n is an even integer.

Answer:

The third number in the sequence 31, 32, 33, 34 is 33

Step-by-step explanation:

let first number be the smallest number be x.

Consecutive numbers are those numbers that follow each other in order and they should have a difference of 1 between every two numbers.

Then, the four consecutive integers are x , (x+1), (x+2) , (x+3)

Given: the sum of 4 consecutive integers is 130.

From the given condition we have,

x+(x+1)+(x+2)+(x+3)=130

Like terms states that contain the same variables raised to the same power.

Combine like terms we get,

4x+6=130

Subtract 6 from both the sides, we get

4x+6-6=130-6

Simplify we get,

4x=124

Divide both sides by 4;  frac{4x}{4}= frac{124}{4}

On simplify we get, the value of x i.e, x=31

the sequence we have, 31, 32, 33, 34,

therefore, the third number in the sequence is, 33.

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