What is the explicit formula for the sequence {3,8,13,18, ...}?

Answer: the explicit formula is

Tn = 3 + 5 (n - 1)

Step-by-step 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)