Jared wanted to find three consecutive even integers whose sum was 4 times the first of those integers. He let k represent the first integer, then wrote and solved this equation: k + (k + 1) + (k + 2) = 4k. Did he get the correct answer? Complete the explanation
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Jared did not get the correct answer. The solution to his equation is k =_, giving __,__, and __ as the three intergers. However, 3 and 5, are not even integers. He should have used the equation k=(k+__)+(k+__)=4k, which gives k=__ and the correct answer __,__,__