If the sum of all consecutive integers from A to B (A<B), inclusive, is S and the average (arithmetic mean) of these integers is M, then, in terms of A, B, and S, what is the value of M?
A) 2S/(A+B+1)
E) 2S/(A+B)
C) (BA)/2
D) S/(BA+1)
E) (BA)/(2S)
OE:
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A) 2S/(A+B+1)
E) 2S/(A+B)
C) (BA)/2
D) S/(BA+1)
E) (BA)/(2S)
OE:
[Reveal] Spoiler:
Sum of consecutive integers = Average x (largest - smallest + 1) -> S = M x (B - A + 1) -> S / (B - A + 1) = M