Final answer:
To find the nᵗʰ term of the given sequence, use the formula an = 17 + (n - 1) * 1.4, where 17 is the first term and 1.4 is the common difference between the terms.
Step-by-step explanation:
The student is asking for the nᵗʰ term of the arithmetic sequence 17, 18.4, 19.8, 21.2, 22.6. To find the nᵗʰ term, we need to determine the first term (a1) and the common difference (d) of the sequence. Observing the sequence, we see that the common difference between terms is 1.4. Therefore, the general formula for the nᵗʰ term of an arithmetic sequence is given by:
an = a1 + (n - 1) * d
Here, a1 = 17 and d = 1.4. Inserting these values into the formula, the nᵗʰ term is:
an = 17 + (n - 1) * 1.4
This formula will give us the value of any term in the sequence when we substitute the desired term number for n.
To find the nᵗʰ term of the given sequence, we can observe that each term is increasing by 1.4. So, the formula for finding the nᵗʰ term is:
nᵗʰ term = 17 + (n-1) * 1.4
In this case, the common difference is 1.4. So, to find the 5th term, we substitute n = 5 in the formula:
nᵗʰ term = 17 + (5-1) * 1.4 = 17 + 4 * 1.4 = 17 + 5.6 = 22.6