# Sum of Geometric Progression

Logic Level 4

I have 6 bags, each bag contains a non-zero amount of marbles such that:

the 2nd bag contains twice as many marbles as the 1st bag,
the 3rd bag contains twice as many marbles as the 2nd bag,
the 4th bag contains twice as many marbles as the 3rd bag,
the 5th bag contains twice as many marbles as the 4th bag,
the 6th bag contains twice as many marbles as the 5th bag.

What is the minimum total number of marbles used in these 6 bags?

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