
Kaylee R.
asked 04/26/21Is x•(2+x) and example of two consecutive integers
2 Answers By Expert Tutors

Beth B. answered 04/26/21
Math Tutor w/ over 2 years of teaching experience ready to help!
In the expression, X•(2+X), the two integers that you would be multiplying could not be consecutive integers.
Consecutive integers:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and so on. Consecutive numbers are those numbers that follow each other. Consecutive means an unbroken sequence or following continuously. So, Consecutive Integers follow a sequence where each subsequent number is one more than the previous number.
So, in order for the 2 integers that you are multiplying to be consecutive integers, the algebraic expression should have been X•(1+X).
Say that x = 3, then you would be multiplying 3 • 4 (consecutive integers)
In the given algebraic expression of X•(2+X), if x = 3, then you would be multiplying 3 • 5 (not consecutive integers)

Mark M. answered 04/26/21
Mathematics Teacher - NCLB Highly Qualified
Two consecutive integers would be x and x + 1.
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Brenda D.
04/26/21