Final answer:
The nᵢᶜ term of the sequence 8, 14.1, 20.2, 26.3, 32.4 is determined by the arithmetic sequence formula aᵢ = 6.1n + 1.9, as the sequence increases by a common difference of 6.1.
Step-by-step explanation:
The sequence given is 8, 14.1, 20.2, 26.3, 32.4, and we need to determine its nth term. Looking at the differences between terms, we notice that each term is increasing by 6.1.
We can describe this sequence using the formula for an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.
The common difference (d) is 6.1, and the first term (a1) is 8. Thus, the nth term of the sequence is an = 8 + (n - 1)(6.1).
Simplified, the nth term is an = 6.1n + 1.9.