Answer:
Given that,
A geometric sequence has terms a3 = 288 and a8= 2,187
we know the general term of the geometric series as,

where a is the first term, r is the common ratio and n is the number of terms
we get,

also,

Dividing (2) by (1), we get




Substitute r=3/2 in equation (1) we get,




The explicit formula for the given geometric series is

Answer is: option D:
