Question

What is the n^th term in the given sequence
13,18,23

Answer 1

`a_(n)` = 5n + 8

Explanation:

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

18 - 13 = 23 - 18 = 5

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + d(n - 1)

a₁ is the first term , d the common difference , n the term number

here a₁ = 13 and d = 5 , then

`a_(n)` = 13 + 5(n - 1) = 13 + 5n - 5 = 5n + 8