Answer:
a(n) = (3/4)(12)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common factor and n is the index (first, second, third, etc.).
Here the first term is 3/4. By what figure must we multiply 3/4 to obtain the next term, 9? Dividing 9 by 3/4 results in 12. The next term, 108, is found by multiplying 9 by 12. And so on. Thus, we conclude that the common factor, r is 12.
Thus, the general formula becomes:
a(n) = (3/4)(12)^(n-1).
