Answer:
Option 4 -The recursive formula is [tex]a_n=a_{n-1}-8; a_1=38[/tex]
Step-by-step explanation:
Given : The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term.
To find : Which recursive formula represents the situation?
Solution :
The fourth term of a sequence is 14.
Each term of the sequence is 8 less than the previous term.
Since, [tex]a_4=14[/tex]
Third term , [tex]a_3=14+8=22[/tex]
Second term , [tex]a_2=22+8=30[/tex]
First term , [tex]a_1=30+8=38[/tex]
So, [tex]a_1=38[/tex] and the recursive formula created is
[tex]a_n=a_{n-1}-8; a_1=38[/tex]
Therefore, Option 4 is correct.
The recursive formula is [tex]a_n=a_{n-1}-8; a_1=38[/tex]
