Answer:
[tex]a_1 = 5[/tex]
[tex]a_n = a_{n-1} + 2[/tex]
Step-by-step explanation:
Given
[tex]a_n = 5 + (n - 1)2[/tex]
Required
The equivalent recursive function
The general explicit function is:
[tex]a_n = a_1+ (n - 1)d[/tex]
So, by comparison
[tex]a_1 = 5[/tex]
[tex]d = 2[/tex]
The recursion of an arithmetic sequence is:
[tex]a_n = a_{n-1} + d[/tex]
Substitute 2 for d
[tex]a_n = a_{n-1} + 2[/tex]
Hence: (a) is correct
