The fifth term of an authentic sequence is 96 which rule could define the sequence

The rule could be an = 6*2^ (n-1)

Step-by-step explanation:

If it is a geometric sequence

Fifth term a5 = a1 r^4 where a1 is the first term

a1 r^4 = 96

r^4 = 96/a1

2^4 = 16 and 96/16 = 6 so a1 could be 6

Check: 6*2^ (5-1) = 6*2^4 = 96.