Question

How do you find the nth term of a sequence Find 5 8 11 14

Answer 1

`a_(n)` = 3n + 2

Explanation:

there is a common difference between consecutive terms in the sequence, that is

8 - 5 = 11 - 8 = 14 - 11 = 3

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 5 and d = 3 , then nth term formula is

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