Question

classify the following sequences as either arithmetic or geometric. Then state the common difference or ratio and find the missing terms.
A. 2, -2, -6, -10, -14, ______, ________...

B. ______, -9, ______, 3, 9...

C. 64, -32, 16, -8, ______, ______...

Answer 1

A. is arithmetic because the common difference is -4. so:

2, -2, -6, -10, -14, -18, -22

B. is arithmetic because the common different is +6

-15, -9, -3, 3, 9

C. is geometric because the numbers divide by -2 each time

64, -32, 16, -8, 4, -2

Answer 2

A. the common difference is -4.

$2, -2, -6, -10, -14, -18, -22$

B. the common different is +6 

$-15, -9, -3, 3, 9$

C. the numbers divide by -2 each time 

$64, -32, 16, -8, 4, -2$