# 2016 is absolutely awesome 11

Discrete Mathematics Level 5

Mary starts with one standard die on a table.

At each step, she rolls all the dice on the table: if all of them show a 6 on top, then she places one more die on the table; otherwise, she does nothing more on this step.

Let $$D$$ be the number of dice on the table after 2016 such steps.

What is the expected value (average value) of $$6^D$$?

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