Final answer:
The explicit formula for the nth term of the sequence 13, 20, 27, ... is aₙ = 13 + 7(n-1).
Step-by-step explanation:
To find the explicit formula for the nth term of the sequence 13, 20, 27, ..., we need to observe the pattern in the sequence. Notice that each term is obtained by adding 7 to the previous term. This means we are adding 7 to the first term, then 7 to the second term, and so on.
Using this pattern, we can write the explicit formula as:
aₙ = 13 + 7(n-1)
Where n is the position of the term in the sequence. For example, if we want to find the 5th term, we substitute n=5 into the formula: a₅ = 13 + 7(5-1) = 13 + 28 = 41.