U3 L10 Connections 7th grade
4. What explains why the sequence 216, 12, 2/3, ... is arithmetic or geometric.
A. The sequence is geometric because it decreases by a factor of 6
B. The sequence is arithmetic because it decreases by a factor of 6
C. The sequence is geometric because it decreases by a factor of 1/18
D. The sequence is arithmetic because it decreases by a factor of 1/18
2 answers
I think it is c
A geometric sequence is a sequence in which the next or previous numbers are arrived at by multiplying by a number. An arithmetic sequence is a sequence in which the next or previous numbers are arrived at by adding a number. since 216 times 1/18 is 12 and 12 times 1/18 is 2/3, this is a geometric sequence decreasing by a factor of 1/18. c is correct.