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Sequence of positive integers [Canada 1988 - P5]

Source:

October 3, 2011

Problem Statement

If

S

is a sequence of positive integers let

p(S)

be the product of the members of

S

. Let

m(S)

be the arithmetic mean of

p(T)

for all non-empty subsets

T

of

S

. Suppose that

S'

is formed from

S

by appending an additional positive integer. If

m(S) = 13

and

m(S') = 49

, find

S'

.

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