Answer: the explicit formula is
Tn = 3 + 5(n - 1)
Explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 3
d = 8 - 3 = 13 - 8 = 18 - 13 = 5
The explicit formula for the arithmetic sequence is
Tn = 3 + 5(n - 1)