Problem: Be able to identify if a sequence is given in a recursive description or an explicit description and be able to convert between the two descriptions. Example questions: For each of the following sequences, determine if the sequence is given in a recursive description or an explicit description. Write the sequence in the other description.

$a_n=\frac{a_{n-1}}{2},a_0=32$

$a_n={10}^n-1$ for $n1$

$a_n=n!,n1$