# Clever 4-term Sequences

Number Theory Level 5

How many 4-term geometric sequences have all four terms positive integers less than or equal to 100?

Details and assumptions

Clarification: The sequence $$1, 2, 4, 8$$ is different from the sequence $$8, 4, 2, 1$$. The sequence $$1, 1, 1, 1$$ is the same as the 'flipped sequence' $$1, 1, 1, 1$$.

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