Answer:
A
Step-by-step explanation:
The student wrote a list of six consecutive integers.
The sum of the first integer and the sixth is 1.
Let the first integer be represented by <em>n</em>.
Then the subsequent integer will be (<em>n </em>+ 1).
Therefore, our sequence is:
<em>n, n </em>+ 1, <em>n </em>+ 2, <em>n </em>+ 3, <em>n</em> + 4, and <em>n</em> + 5.
The sum of the first and sixth is 1. Therefore:
Solve for <em>n</em>. Combine like terms:
Thus:
And:
Thus, our first term is -2.
Therefore, our sequence is:
-2, -1, 0, 1, 2, 3
The least of the six integers is -2.
Our answer is A.