Answer:
[tex]a_{n} =a_{n-1} +5[/tex]
Step-by-step explanation:
The given explicit formula for the nth term is:
[tex]a_{n} =12+(n-1)5[/tex]
Replace n by n - 1, we get,
[tex]a_{n-1} =12+[(n-1)-1]5[/tex]
[tex]=12+(n-1)5-5[/tex]
But, [tex]a_{n} =12+(n-1)5[/tex]
Therefore,
[tex]a_{n-1}=a_{n} -5[/tex]
So, [tex]a_{n} =a_{n-1} +5[/tex]
