Question

Very confused please help explan the answer

Answer 1

`a_(n)` = 3 + 5(n - 1)

Explanation:

there is a common difference between consecutive terms , that is

8 - 3 = 13 - 8 = 18 - 13 = 5

this indicates the sequence is arithmetic with explicit formula

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 3 and d = 5 , then

`a_(n)` = 3 + 5(n - 1) ← is the explicit formula