Answer:
Option 1 is correct that is [tex]a_1=3,a_n=a_{n-1}+4[/tex]
Step-by-step explanation:
We have given [tex]a_n=4n-1[/tex]
We will put different values of n to get the recursive formula:
When n=1 in [tex]a_n=4n-1[/tex] we get
[tex]a_1=4(1)-1=3[/tex]
When n=2 in [tex]a_n=4n-1[/tex] we get
[tex]a_2=4(2)-1=7[/tex]
When n=3 in [tex]a_n=4n-1[/tex] we get
[tex]a_3=4(3)-1=11[/tex]
We can clearly see the difference between consecutive terms is 4
Hence, recursive formula will become
[tex]a_1=3,a_n=a_{n-1}+4[/tex]
Therefore Option 1 is correct that is [tex]a_1=3,a_n=a_{n-1}+4[/tex]
