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The sum of 6 consecutive integers is 9. What is the lowest integer?

  • A.1
  • B.0
  • C.-2
  • D.-1

Answer: D

The lowest integer is -1.

Let the integers be \(n, n+1, \dots, n+5\).

\[ \begin{aligned} 6n + 15 &= 9 \\ n &= -1 \end{aligned} \]

The integers are -1, 0, 1, 2, 3 and 4, whose sum is 9. Starting at 0 gives 15, at 1 gives 21, and at -2 gives 3.

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