Answer:
aₙ = 4n + 1
Step-by-step explanation:
The terms of your sequence are.
5, 9, 13, 17
This is an arithmetic sequence, because there is a constant difference of 4 between consecutive terms.
The explicit formula for the nth term of an arithmetic sequence is
aₙ = a₁ + d(n - 1 )
a₁ is the first term, and d is the difference in value between consecutive terms. Thus,
aₙ = 5 + 4(n - 1) = 5 + 4n - 4
aₙ = 4n + 1
The explicit formula for sequence is aₙ = 4n + 1.
