Final answer:
The nth term of the sequence 18, 17.97, 17.94, 17.91, 17.88 can be found using the nth term formula for an arithmetic sequence. The nth term is given by the formula an = 18.03 - 0.03n.
Step-by-step explanation:
To determine the nᵗʰ term of the sequence 18, 17.97, 17.94, 17.91, 17.88, we first need to identify the pattern of the sequence. We can see that with each successive term, the sequence decreases by 0.03.
This indicates the sequence is arithmetic, meaning we can find the nᵗʰ term using the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.
The first term, a1, is 18, and the common difference, d, is -0.03. Applying these values to the formula, we get an = 18 + (n - 1)(-0.03). This simplifies to an = 18 - 0.03n + 0.03, or further simplified to an = 18.03 - 0.03n.
So, the formula for the nᵗʰ term of the given sequence is an = 18.03 - 0.03n.