Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence.
-224, 112, 56, 28, 14, . . .
A)neither
B)geometric; 7
C)arithmetic; 7

Question

Quizplus · Accepted Answer

This sequence is a geometric sequence because each term is obtained by multiplying the previous term by a constant ratio, which is 1/2 in this case (e.g., 224 * 1/2 = 112, 112 * 1/2 = 56, etc.). The next term is obtained by multiplying the last given term (14) by 1/2, which equals 7.

Determine If the Sequence Is an Arithmetic Sequence, a Geometric