Final answer:
To find the nᵗʰ term of the given sequence, use the formula a_n = a_1 + (n-1)d, where a_n is the nᵗʰ term, a_1 is the first term, d is the common difference, and n is the position of the term you want to find.
Step-by-step explanation:
The given sequence is -5, 4.3, 13.6, 22.9, 32.2. To determine the nᵗʰ term of the sequence, we need to find the pattern. By examining the sequence, we can see that each term is obtained by adding 9.3 to the previous term. So, the common difference between terms is 9.3. To find the nᵗʰ term, we can use the formula:
an = a1 + (n-1)d
where an is the nᵗʰ term, a1 is the first term, d is the common difference, and n is the position of the term we want to find.
Plugging in the values from the sequence, we get:
an = -5 + (n-1)9.3
Therefore, the formula for the nᵗʰ term of the given sequence is -5 + (n-1)9.3.