The Infinite Lake

A frog is sitting on a lily pad in a lake.

Every second, the frog jumps either left or right 1 lily pad with equal probability.

There is only 1 lily pad to its left, but there is an infinite amount of lily pads to its right.

What is the expected value of the number of seconds before it reaches the leftmost lily pad?

Enter -1 if you think the expected value is infinite.


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