Final answer:
To find the nth term of the given arithmetic sequence, subtract the first term from the second term to find the common difference. Then use the formula an = a1 + (n - 1)d to find the nth term of the sequence.
Step-by-step explanation:
The given arithmetic sequence has a first term of 13 and a second term of 13.08. To find the nth term of the sequence, we need to determine the common difference. The common difference can be found by subtracting the first term from the second term:
13.08 - 13 = 0.08
Now that we have the common difference, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
Substituting the given values:
an = 13 + (n - 1) * 0.08
Simplifying, we have:
an = 13 + 0.08n - 0.08
Combining like terms:
an = 13 - 0.08 + 0.08n
The nth term of the sequence is 13 - 0.08 + 0.08n.