Question

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

sure to identify your starting value
−101, −91, −81, −71, …

Answer 1

The sequence is arithmetic.

`\texttt{Recursive formula, }t_n=t_(n-1)+10`

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`