Final answer:
The nᵗʰ term of the sequence -6, -5.94, -5.88, -5.82, -5.76 is determined by the arithmetic sequence formula An = -6.06 + 0.06n, where n represents the term number. This captures the pattern that each term increases by 0.06.
Step-by-step explanation:
The given sequence is -6, -5.94, -5.88, -5.82, -5.76. To determine the nᵗʰ term, we need to identify the pattern. We can observe that each term is increasing by 0.06. Since we are starting from -6 for the first term, we can express the nth term as an arithmetic sequence formula:
An = A1 + (n - 1) * d
Where An is the nth term, A1 is the first term (-6), n is the term number, and d is the common difference (0.06).
Then, the nth term formula for this sequence will be:
An = -6 + (n - 1) * 0.06
We can simplify this to:
An = -6 + 0.06n - 0.06
Which further simplifies to:
An = -6.06 + 0.06n