Question

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A student wrote a list of six consecutive integers. If the sum of the first integer and sixth integer is 1, which integer is the least of the six integers?
A. -2
B. 1
C. 3
D. 5

Answer 1

A

Explanation:

Answer 2

A

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 n.

Then the subsequent integer will be (n + 1).

Therefore, our sequence is:

n, n + 1, n + 2, n + 3, n + 4, and n + 5.

The sum of the first and sixth is 1. Therefore:

`(n)+(n+5)=1`

Solve for n. Combine like terms:

`2n+5=1`

Thus:

`2n=-4`

And:

`n=-2`

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.