36909

The answer is 64, here is how I got it.

I did a chart, and it had a column for each week 1-6.
I started by writing 2 in the column for the first week,
then doubled that number to get week 2's answer (4).
Then I doubled 4 to get week 3's answer (8).
Then I doubled week 3's answer to get week 4's answer (16)
Then I doubled that to get week 5's answer (32)
Then I doubled that to get week 6's answer (64).