Final answer:
The fourth term of the geometric sequence with a first term of 3 and a common ratio of 2.1 is 27.783.
Step-by-step explanation:
The student's question is asking to find the fourth term of a geometric sequence. In mathematics, the nth term of a geometric sequence can be found using the formula an = a * rn-1, where a is the first term, r is the common ratio, and n is the term number.
Given that the first term (a) is 3 and the common ratio (r) is 2.1, we can calculate the fourth term (a4) as follows:
a4 = a * r4-1 = 3 * 2.13
Calculating this, we get:
a4 = 3 * 2.13 = 3 * 9.261 = 27.783
Therefore, the fourth term of this geometric sequence is 27.783.