Final answer:
The nᵗʰ term of the sequence 0, 0.08, 0.16, 0.24, 0.32 is given by the formula Tn = 0.08n - 0.08. This is found by recognizing that the sequence is an arithmetic sequence with a common difference of 0.08.
Step-by-step explanation:
To determine the nᵗʰ term of the given sequence 0, 0.08, 0.16, 0.24, 0.32, we should look for a pattern in the sequence. Upon examination, we find that each term increases by 0.08 from the previous term. This indicates that the sequence is an arithmetic sequence with a common difference of 0.08. To find the nᵗʰ term of an arithmetic sequence, we use the formula:
Tn = a + (n - 1)d
where a is the first term, d is the common difference, and n is the term number. Substituting into the formula with a = 0 and d = 0.08, the nᵗʰ term is:
Tn = 0 + (n - 1)(0.08)
Tn = 0.08n - 0.08
Thus, the expression for the nᵗʰ term of the sequence is 0.08n - 0.08.