Is the following sequence arithmetic? If so, identify the common difference. –73, –44, –15, 14, . . .

yes, -31
yes, -29
no
yes, 29

1 Answer
Apr 3, 2017

Answer:

This is an arithmetic sequence with # d= 29#

Explanation:

If a sequence (or progression) is arithmetic, then the difference between any two terms is the same.

We ask: Is #" "T_4-T_3 " = "T_3-T_2" = "T_2-T_1?#

#T_4-T_3 = 14-(-15) = 29#

#T_3-T_2 =-15-(-44) = 29#

#T_2-T_1 = -44 -(-73) = 29#

In each case the difference is the same. This value is called the common difference: #d = 29#

This is therefore an arithmetic sequence.