\"\"

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The given sequence \"\".

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Where \"\"

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The nth term of a geometric sequence formula \"\".

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Where \"\" is first term and r is common ratio.

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\"\"              (Substitute \"\")

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\"\"                  (Subtract power: \"\")\"\"

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Apply division property of equality: a = b then \"\".

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\"\"             (Divide each side by 3)

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\"\"                    (Cancel common terms)

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\"\"                      (Divide: \"\")

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\"\"                       (Rewrite: \"\")

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\"\"                          (Apply fifth root of each side and eliminate powers)\"\"

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When \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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The geometric means are 6, 12, 24, 48.\"\"

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The geometric means are 6, 12, 24, 48.