Taking G.P to a new level

Calculus Level pending

How many increasing 3 -term geometric progessions can be obtained from the sequence \(1, 2 , 2^{2} , 2^{3} , .................... , 2^{n}\)

DETAILS - \(\{2^{2} , 2^{5} , 2^{8}\}\) is a 3-term G.P for \(n \geq 8\)

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