Respuesta :
Answer:
The sequence is arithmetic.
[tex]\texttt{Recursive formula, }t_n=t_{n-1}+10[/tex]
Step-by-step explanation:
If the sequence is arithmetic common difference will be same, if the sequence is arithmetic common ratio will be same.
Here the sequence is −101, −91, −81, −71, …
Difference between terms
-91 - (-101) = 10
-81 - (-91) = 10
-71 - (-81) = 10
They are same , so the sequence is arithmetic.
Common difference, d = 10
Now we need to find recursive formula for the sequence.
Recursive formula for GP
[tex]t_n=t_{n-1}+d[/tex]
[tex]\texttt{Recursive formula, }t_n=t_{n-1}+10[/tex]
