Nth term of this linear sequence...
6, 10, 14, 18, 22

= 4n + 2

Step-by-step explanation:

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

d = 10 - 6 = 14 - 10 = 18 - 14 = 22 - 18 = 4

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 4, thus

= 6 + 4(n - 1) = 6 + 4n - 4 = 4n + 2

The nth term is  6 + 4(n - 1).

Step-by-step explanation:

This is an arithmetic sequence.

The numbers increase by a common difference of 4.

The first term is 6 so the nth term is  6 + 4(n - 1).