Mp 2.3, 7 molina noticed that when she
had three consecutive integers, such as 3, 4, 5,
that (3)(5) = 15 and 4= 16. and, again, with
6,7,8, that (
68) = 48, while 72 = 49. after
working with both positive and negative
integers, molina offered the following con-
jecture: given any three consecutive integers,
starting with x, the product of the first and
the third is one less than the square of the
second. clearly identify your own variables
and show that, algebraically, she's right.

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