Answer:
Recursive formula → [tex]a_n=-9n+19[/tex]
Step-by-step explanation:
Recursive formula given for the sequence is,
[tex]a_1=10[/tex] and [tex]a_n=a_{n-1}-9[/tex]
Therefore, sequence will be,
10, 1, -8, -17........
Explicit formula for an arithmetic sequence is,
[tex]a_n=a_1+(n-1)d[/tex]
Here, n = number of term
d = common difference
Therefore, recursive formula will be,
[tex]a_n=10+(n-1)(-9)[/tex]
= 10 - 9n + 9
= 19 - 9n
[tex]a_n=-9n+19[/tex]
