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(Solved): Suppose that g1, g2, g3,... is a sequence defined as follows:
g1 = 3, g2 = 5
gk = 3gk1 2gk ...

Suppose that g1, g2, g3,... is a sequence defined as follows:
g1 = 3, g2 = 5
gk = 3gk?1 ? 2gk?2 for all integers k >= 3.
Prove that gn = 2
n + 1 for all integers n >= 1.