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並前往https://math.stackexchange.com/questions/4049964/find-shortest-length-of-rod-divided-into-10-pieces-in-a-geometrical-progression

Find shortest length of rod divided into 10 pieces in a ...

Your mistake is in the last step. It should be: Sn=a⋅(210/3−1)21/3−1≈a⋅34.93. or a≈28.63≈29. as given in the solution.

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