Question

Write an explicit formula for an, the nth term of the term of the sequence 3, 8, 13​

Answer 1

`a_(n)` = 5n - 2

Explanation:

there is a common difference between consecutive terms , that is

8 - 3 = 13 - 8 = 5

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and d = 5 , then

`a_(n)` = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2