Question 12395
You are right, the answer is 37,768.  The nth term is {{{2^n}}}.  {{{2^n}}} means that you take 2 to the n power.  For example, if the term number is 1, then you would do {{{2^1}}}, which is 2.  If the term number is 10, you do {{{2^10}}}, which is 2x2x2x2x2x2x2x2x2x2 = 1,024.  Since you want the answer for the fifteenth day, you will do {{{2^15}}}, which is 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=37,768.  Hopes this help to clear things up!