Question

Identify the sequence as arithmetic or geometric, and write a recursive formula for the sequence. Be

Answer 1

Answer:

The sequence is arithmetic.

$\texttt{Recursive formula, }t_n=t_{n-1}+10$      

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

                      $t_n=t_{n-1}+d$

$\texttt{Recursive formula, }t_n=t_{n-1}+10$