Answer:
[tex]a_n=a_{n-1}+16[/tex]
Step-by-step explanation:
The given arithmetic sequence is
14,30,46,62
The first term of this sequence is
[tex]a_1=14[/tex]
The common distance is obtained by subtracting a subsequent term from a previous term;
d=30-14
The common difference is
d=16
The recursive formula is given by:
[tex]a_n=a_{n-1}+d[/tex]
We now plug in the known value for the common difference to get;
[tex]a_n=a_{n-1}+16[/tex]
