Final answer:
The nᵗʰ term of the given sequence is calculated using the arithmetic sequence formula Tn = a + (n - 1)d. For this sequence, the nᵗʰ term formula is Tn = 18.92 + 0.08n.
Step-by-step explanation:
To determine the nᵗʰ term of the given sequence 19, 19.08, 19.16, 19.24, 19.32, we first need to identify the pattern by which the sequence progresses. This is a linear sequence, where each term increases by a constant difference from the previous term. In this case, the common difference is 0.08.
To find the nᵗʰ term, we use the formula for the nᵗʰ term of an arithmetic sequence, which is:
T
n
= a + (n - 1)d
where Tn is the nᵗʰ term, a is the first term, d is the common difference, and n is the term number.
So for our sequence:
- a = 19
- d = 0.08
- n = term number
The nᵗʰ term is:
T
n
= 19 + (n - 1)(0.08)
= 19 + 0.08n - 0.08
= 18.92 + 0.08n
Therefore, the formula for the nᵗʰ term of the sequence is Tn = 18.92 + 0.08n.