Final answer:
The first five terms of the sequence are: 12, 72, 432, 2592, 15,552.
Step-by-step explanation:
The nth term of the sequence is given by the expression an = 3^n * 2^(n+1). To find the first five terms of the sequence, we substitute the values of n from 1 to 5 into the expression and evaluate.
a1 = 3^1 * 2^(1+1) = 3 * 4 = 12
a2 = 3^2 * 2^(2+1) = 9 * 8 = 72
a3 = 3^3 * 2^(3+1) = 27 * 16 = 432
a4 = 3^4 * 2^(4+1) = 81 * 32 = 2592
a5 = 3^5 * 2^(5+1) = 243 * 64 = 15,552