Final answer:
The nth term of the sequence 3, 9.2, 15.4, 21.6, 27.8 can be found using the linear formula T(n) = 6.2n - 3.2. This represents a sequence with a common difference of 6.2, and by applying this formula, any term's value can be determined.
Step-by-step explanation:
To find the nth term of the given sequence 3, 9.2, 15.4, 21.6, 27.8, we need to determine the pattern by which the sequence progresses. Observing the sequence, we see that each term increases by 6.2 from the previous term.
This indicates a linear sequence, which means the nth term can be expressed in the form: an + b, where a is the common difference and b is the first term of the sequence.
To find a, we subtract the first term from the second term: a = 9.2 - 3 = 6.2. Thus, for any term in the sequence, to get to the next term, we add 6.2. The first term, which is also the value of b, is 3.
Therefore, the nth term of the sequence can be described by the formula T(n) = 6.2n + (3 - 6.2), which simplifies to T(n) = 6.2n - 3.2. This formula allows us to calculate the value of any term in the sequence by substituting the term's position (n) into the formula.