Answer:
[tex]a_{1}=0[/tex] and
[tex]a_{n}=a_{n-1}+4[/tex]
Step-by-step explanation:
The sequence is given by [tex]a_{n} =-4+4n[/tex].
Now, putting n = 1, [tex]a_{1}=-4+4 (1)=0[/tex].
Now, putting n = 2, [tex]a_{2}=-4+4(2)=4[/tex]
Therefore, [tex]a_{2}=a_{1}+4[/tex] .........(1)
Again, putting n = 3, [tex]a_{3}=-4+4(3) =8[/tex]
Therefore, [tex]a_{3}=a_{2}+4[/tex] .......... (2)
Hence, from equations (1) and (2), we can write
[tex]a_{1}=0[/tex] and
[tex]a_{n}=a_{n-1}+4[/tex]
So, this above relation gives the recursive rule for the given sequence. (Answer)
