Bunuel wrote:

The sum of seven consecutive integers is equal to 7. What is the average of the greatest and least terms in the series?

(A) 7

(B) 4

(C) 2

(D) 1

(E) -2

Since 7 consecutive integers sum to 7, we can let x = the first integer and create the following equation:

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7

7x + 21 = 7

7x = -14

x = -2

Thus, the first integer is -2 and the seventh integer is 4. The average of those integers is (-2 + 4)/2 = 1.

Answer: D

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