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If the sum of 4 consecutive positive integers is w, in terms of w, which of the following represents the sum of the next 4 consecutive positive integers?

单选题
2022-11-04 14:54
A、<em>w</em><sup>2</sup>+16
B、<em>w</em>+16
C、4<em>w</em>+16
D、4<em>w</em>+4
E、<em>w</em>+4
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正确答案
B

试题解析

Let x, x+1, x+2, x+3, represent the 4 consecutive integers. Then, x+x+1+x+2+x+3=w or 4x+6=w. The next 4 consecutive positive integers will be:x+4, x+5, x+6, x+7. Their sum will be:4x+22=4x+6+16=w+16.

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