Question

Which best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, …

Answer 1

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given $9,-1,-11,-21...$

We will check the common difference between the given terms.

$d=a_2-a_1$

$d=-1-9=-10$

$d=-11-(-1)=-10$

$d=-21-(-11)=-10$

We can see the difference between the consecutive terms is same.

Arithmetic sequence is the sequence in which there is same difference between the terms.