Given the Sequence 3, 6, 12, 24, 48, 96 ...

e. Write the recursive formula for the geometric sequence (remember to state what the first term is using subscript notation)

an a^()n-1)^r

The recursive formula for the geometric sequence is:

a_n = a_(n-1) * r

where a_n represents the nth term of the sequence, a_(n-1) represents the (n-1)th term of the sequence, and r represents the common ratio.

In this case, the first term (a_1) is 3, so the recursive formula for this geometric sequence would be:

a_n = a_(n-1) * 2