Question

Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?

a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"

Answer 1

first function

Explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

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 = 10 and d = 3 , then

`a_(n)` = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n