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Bunuel
If the median of a sequence of C consecutive integers is M, and M is a member of the series, what is the smallest member of the series?

A. M - (c - 1)/2
B. M - c/2
C. M - c/2 - 1
D. (M - c - 1)/2
E. (M - c)/2

Given: The median of a sequence of C consecutive integers is M, and M is a member of the series.

Asked: What is the smallest member of the series?

The median of a sequence of C consecutive integers is M, and M is a member of the series
=> C is odd
Number of integers on either side of M = \(\frac{C-1}{2}\)
Since they are consecutive integers
Smallest member \(= M - \frac{C-1}{2}\)

IMO A
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