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How do you find a set of two consecutive integers whose sum is equal to the next integer immediately following them?

Answer 1

Ethan Adkins

The numbers are #1# and #2#.

Let the smallest number be #x#, the middle number be #x + 1# and the larger number be #x + 2#.

Then, #x + x + 1 = x + 2#.

#2x + 1 = x + 2#

#x = 1#

#:.# The numbers are #1# and #2#.

Hopefully this helps!

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Answer 2

Eva Abramson

Let the two consecutive integers be (n) and (n+1). The sum of these integers is (n + (n+1)), and the next integer immediately following them is (n+2). Set up the equation:

[ n + (n+1) = n+2 ]

Solve for (n).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.