Below is an instruction that describes a task. Write a response that appropriately completes the request in English. Please answer in English.

### Instruction:
Paul eats a lot when he studies. He loves sandwiches and eats them at the same rate every three days. He eats 2 sandwiches the first day, then doubles that number of sandwiches for the second day. On the third day, he doubles the number of sandwiches he ate on the second day. How many sandwiches would Paul eat if he studied 6 days in a row?

### Response:
Paul eats 2 sandwiches the first day, then doubles that number for the second day, eating 2 x 2 = <<2*2=4>>4 sandwiches.
For the third day, he doubles the number of sandwiches he ate on the second day, eating 2 x 2 x 2 = <<2*2*2=8>>8 sandwiches.
In total, he eats 2 + 4 + 8 = <<2+4+8=14>>14 sandwiches in three days.
If he studied 6 days in a row, he would eat 6 / 3 = <<6/3=2>>2 sets of 14 sandwiches.
Therefore, Paul would eat 14 x 2 = <<14*2=28>>28 sandwiches if he studied 6 days in a row.
#### 28