[tex]a_n=a_{n-1}\text{ + 2}[/tex]Explanation:
The sequence: 55, 57, 59, 61
The recursive formula is in the form:
[tex]a_n=a_{n-1}\text{ + d}[/tex]
d = common difference
d = next term - previous term
d = 57 - 55 = 2
d = 59 - 57 = 2
d = 61 - 59 = 2
Hence, common difference = d = 2
Substitute 2 for d in the formula:
[tex]\begin{gathered} a_n=a_{n-1}\text{ + 2} \\ \\ \text{The recursive formula:} \\ a_n=a_{n-1}\text{ + 2} \end{gathered}[/tex]
