Answer:
Option 2nd is correct
39, 34, 29, 24,....
Step-by-step explanation:
Given the recursive formula:
[tex]a_1 = 39[/tex]
[tex]a_n = a_{n-1}-5[/tex]
For n = 2
[tex]a_2 = a_{2-1}-5[/tex]
⇒[tex]a_2 = a_{1}-5=39-5 = 34[/tex]
⇒[tex]a_2 = 34[/tex]
For n= 3:
[tex]a_3 = a_{3-1}-5[/tex]
⇒[tex]a_3= a_{2}-5=34-5 = 29[/tex]
⇒[tex]a_3= 29[/tex]
For n = 4:
[tex]a_4 = a_{4-1}-5[/tex]
⇒[tex]a_4= a_{3}-5=29-5 = 24[/tex]
⇒[tex]a_4= 24[/tex] and so on....
We get the sequence:
39, 34, 29, 24,....
Therefore, the sequence that matches the recursive formula is, 39, 34, 29, 24,....
