Question

Tell whether the sequence 1/3,0,1,-2… is arithmetic, geometric, or neither.

Find the next three terms of the sequence.
A. neither; 7, -20, 61
B. geometric;7, -20, 61
C. arithmetic; -1/3,1 1/3,3
D. geometric;-3 1/3,-5 5/9,-9 7/27

Answer 1

Is the difference between 0 and 1/3 the same as the difference between 1 and 0? If so, suspect arithmetic
Is the ratio between 0 and 1/3 the same as the difference between 1 and 0? If so, suspect geometric
Otherwise, neither

Answer 2

so neither?

Answer 3

If you suspect either, test the next pairs of points to confirm.

Answer 4

@ybarrap

Answer 5

If you checked and it's neither geometric and arithmetic, then we agree.