Final answer:
The nᵗʰ term of the given sequence can be determined using the arithmetic progression formula.
Step-by-step explanation:
The given sequence 15, 14.91, 14.82, 14.73, 14.64 can be seen as arithmetic progression with a common difference of -0.09. So, each term is obtained by subtracting 0.09 from the previous term.
To determine the nth term of the sequence, we can use the formula:
an = a1 + (n - 1)d
where a1 is the first term, d is the common difference, and n is the term number.
For this sequence, a1 = 15 and d = -0.09. Substituting these values into the formula, we get:
an = 15 + (n - 1)(-0.09)
This formula gives the value of the nth term in terms of n.