Final answer:
The 6th term of the geometric sequence with a common ratio of 3/2 and a first term of 2 is 15.1875.
Step-by-step explanation:
To find the 6th term of a geometric sequence, we can use the formula:
an = a1 * r(n-1)
Where an is the nth term, a1 is the first term, and r is the common ratio.
In this case, the first term is 2 and the common ratio is 3/2. Plugging these values into the formula, we get:
a6 = 2 * (3/2)(6-1)
= 2 * (3/2)5
= 2 * (243/32)
= 486/32
= 15.1875