Final answer:
The nth term of the sequence 11, 15.1, 19.2, 23.3, 27.4 is determined by using the formula for an arithmetic sequence which is an = 11 + (n - 1)(4.1), where n represents the position of the term in the sequence.
Step-by-step explanation:
To find the nth term of the given sequence 11, 15.1, 19.2, 23.3, 27.4, we first identify the pattern. Notice that the difference between consecutive terms is constant, which is a characteristic of an arithmetic sequence. The common difference can be found by subtracting any term from the subsequent term. For example, 15.1 - 11 = 4.1, 19.2 - 15.1 = 4.1, and so on.
Knowing this, we can deduce the nth term of an arithmetic sequence using the formula:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
For our sequence, a1 is 11, and d is 4.1. Plugging these values into the formula gives us:
an = 11 + (n - 1)(4.1)
Therefore, the nth term of the sequence is 11 plus 4.1 times (n - 1).