Question

Find the missing terms for the arithmetic sequence and state the common difference. 22, 15, _____, 1, -6, _____…  Common Difference:

Answer 1

the blanks are 13 and -8 and the common difference would be -7

Answer 2

the missing terms:8 and -13

common difference:-7

Explanation:

the difference between the first and the second term is:15-22=-7

the difference between the fourth and fifth term is -6-1=-7

so the difference between the third and second term is -7

1-x=-7 so x=8

so the difference between the fifth and sixth term is -7

x-(-6)=-7 so x= -7-6=-13