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

which best describes the relationship between the successive terms in the sequence shown? 9, -1, -11, -21, ... the common difference is -10. the common difference is 10. the common ratio is -9. the common ratio is 9.

which best describes the relationship between the successive terms in the sequence shown? 9, -1, -11, -21, ... the common difference is -10. the common difference is 10. the common ratio is -9. the common ratio is 9.

Answer

Answer:

A. The common difference is -10.

Explanation:

Step1: Define common - difference formula

For an arithmetic sequence (a_n), common difference (d=a_{n + 1}-a_n).

Step2: Calculate difference between first two terms

(a_1 = 9), (a_2=-1), (d=a_2 - a_1=-1 - 9=-10).

Step3: Check with other terms

(a_3=-11), (a_2=-1), (a_3 - a_2=-11-(-1)=-10). (a_4=-21), (a_3=-11), (a_4 - a_3=-21-(-11)=-10). Since the difference between successive terms is always - 10, it is an arithmetic sequence with a common difference of -10.