Question

Find the recursive formula of the arithmetic sequence 14,30,46,62

Answer 1

Answer:

$a_n=a_{n-1}+16$

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

$a_1=14$

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:

$a_n=a_{n-1}+d$

We now plug in the known value for the common difference to get;

$a_n=a_{n-1}+16$